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Finding the Third Proportional to 81,967,088.25 and 177,554,448

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Solution

The third proportional to 81,967,088.25 and 177,554,448 is: 384,612,686.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967,088.25 : 177,554,448 = 177,554,448 : x
  2. Step 2: Convert to fraction form
    81,967,088.25/177,554,448 = 177,554,448/x
  3. Step 3: Cross multiply
    81,967,088.25x = 177,554,448 × 177,554,448
  4. Step 4: Simplify right side
    81,967,088.25x = 31,525,582,004,584,704
  5. Step 5: Solve for x
    x = 31,525,582,004,584,704/81,967,088.25
  6. Step 6: Final answer
    x = 384,612,686.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.