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Finding the Third Proportional to 100,127,916 and 207,929,772

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Solution

The third proportional to 100,127,916 and 207,929,772 is: 431,795,565.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,127,916 : 207,929,772 = 207,929,772 : x
  2. Step 2: Convert to fraction form
    100,127,916/207,929,772 = 207,929,772/x
  3. Step 3: Cross multiply
    100,127,916x = 207,929,772 × 207,929,772
  4. Step 4: Simplify right side
    100,127,916x = 43,234,790,083,971,984
  5. Step 5: Solve for x
    x = 43,234,790,083,971,984/100,127,916
  6. Step 6: Final answer
    x = 431,795,565.22

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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.