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Finding the Third Proportional to 109,025,425 and 239,234,449

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Solution

The third proportional to 109,025,425 and 239,234,449 is: 524,952,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,025,425 : 239,234,449 = 239,234,449 : x
  2. Step 2: Convert to fraction form
    109,025,425/239,234,449 = 239,234,449/x
  3. Step 3: Cross multiply
    109,025,425x = 239,234,449 × 239,234,449
  4. Step 4: Simplify right side
    109,025,425x = 57,233,121,588,333,600
  5. Step 5: Solve for x
    x = 57,233,121,588,333,600/109,025,425
  6. Step 6: Final answer
    x = 524,952,061.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.