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Finding the Third Proportional to 81,840,582 and 176,445,324

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Solution

The third proportional to 81,840,582 and 176,445,324 is: 380,409,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,582 : 176,445,324 = 176,445,324 : x
  2. Step 2: Convert to fraction form
    81,840,582/176,445,324 = 176,445,324/x
  3. Step 3: Cross multiply
    81,840,582x = 176,445,324 × 176,445,324
  4. Step 4: Simplify right side
    81,840,582x = 31,132,952,361,464,976
  5. Step 5: Solve for x
    x = 31,132,952,361,464,976/81,840,582
  6. Step 6: Final answer
    x = 380,409,713.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.