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Finding the Third Proportional to 109,025,434 and 239,234,464

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Solution

The third proportional to 109,025,434 and 239,234,464 is: 524,952,083.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,025,434 : 239,234,464 = 239,234,464 : x
  2. Step 2: Convert to fraction form
    109,025,434/239,234,464 = 239,234,464/x
  3. Step 3: Cross multiply
    109,025,434x = 239,234,464 × 239,234,464
  4. Step 4: Simplify right side
    109,025,434x = 57,233,128,765,367,296
  5. Step 5: Solve for x
    x = 57,233,128,765,367,296/109,025,434
  6. Step 6: Final answer
    x = 524,952,083.80

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