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Finding the Third Proportional to 100,127,861 and 207,929,527

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Solution

The third proportional to 100,127,861 and 207,929,527 is: 431,794,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127,861 : 207,929,527 = 207,929,527 : x
  2. Step 2: Convert to fraction form
    100,127,861/207,929,527 = 207,929,527/x
  3. Step 3: Cross multiply
    100,127,861x = 207,929,527 × 207,929,527
  4. Step 4: Simplify right side
    100,127,861x = 43,234,688,198,443,728
  5. Step 5: Solve for x
    x = 43,234,688,198,443,728/100,127,861
  6. Step 6: Final answer
    x = 431,794,784.85

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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.