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Finding the Third Proportional to 101,218,297,882.50 and 210,814,374,746.25

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Solution

The third proportional to 101,218,297,882.50 and 210,814,374,746.25 is: 439,077,731,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218,297,882.50 : 210,814,374,746.25 = 210,814,374,746.25 : x
  2. Step 2: Convert to fraction form
    101,218,297,882.50/210,814,374,746.25 = 210,814,374,746.25/x
  3. Step 3: Cross multiply
    101,218,297,882.50x = 210,814,374,746.25 × 210,814,374,746.25
  4. Step 4: Simplify right side
    101,218,297,882.50x = 44,442,700,599,652,329,193,472
  5. Step 5: Solve for x
    x = 44,442,700,599,652,329,193,472/101,218,297,882.50
  6. Step 6: Final answer
    x = 439,077,731,293.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.