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Finding the Third Proportional to 101,218,297,156 and 210,814,373,184

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Solution

The third proportional to 101,218,297,156 and 210,814,373,184 is: 439,077,727,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,218,297,156 : 210,814,373,184 = 210,814,373,184 : x
  2. Step 2: Convert to fraction form
    101,218,297,156/210,814,373,184 = 210,814,373,184/x
  3. Step 3: Cross multiply
    101,218,297,156x = 210,814,373,184 × 210,814,373,184
  4. Step 4: Simplify right side
    101,218,297,156x = 44,442,699,940,962,815,180,800
  5. Step 5: Solve for x
    x = 44,442,699,940,962,815,180,800/101,218,297,156
  6. Step 6: Final answer
    x = 439,077,727,937.54

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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.