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Finding the Third Proportional to 69,068,506 and 148,588,685

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Solution

The third proportional to 69,068,506 and 148,588,685 is: 319,662,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,068,506 : 148,588,685 = 148,588,685 : x
  2. Step 2: Convert to fraction form
    69,068,506/148,588,685 = 148,588,685/x
  3. Step 3: Cross multiply
    69,068,506x = 148,588,685 × 148,588,685
  4. Step 4: Simplify right side
    69,068,506x = 22,078,597,310,029,224
  5. Step 5: Solve for x
    x = 22,078,597,310,029,224/69,068,506
  6. Step 6: Final answer
    x = 319,662,297.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.