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Finding the Third Proportional to 81,707,490 and 175,071,609.75

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Solution

The third proportional to 81,707,490 and 175,071,609.75 is: 375,119,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707,490 : 175,071,609.75 = 175,071,609.75 : x
  2. Step 2: Convert to fraction form
    81,707,490/175,071,609.75 = 175,071,609.75/x
  3. Step 3: Cross multiply
    81,707,490x = 175,071,609.75 × 175,071,609.75
  4. Step 4: Simplify right side
    81,707,490x = 30,650,068,540,456,296
  5. Step 5: Solve for x
    x = 30,650,068,540,456,296/81,707,490
  6. Step 6: Final answer
    x = 375,119,447.93

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.