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Finding the Third Proportional to 81,707,350.50 and 175,071,327.50

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Solution

The third proportional to 81,707,350.50 and 175,071,327.50 is: 375,118,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,707,350.50 : 175,071,327.50 = 175,071,327.50 : x
  2. Step 2: Convert to fraction form
    81,707,350.50/175,071,327.50 = 175,071,327.50/x
  3. Step 3: Cross multiply
    81,707,350.50x = 175,071,327.50 × 175,071,327.50
  4. Step 4: Simplify right side
    81,707,350.50x = 30,649,969,712,612,256
  5. Step 5: Solve for x
    x = 30,649,969,712,612,256/81,707,350.50
  6. Step 6: Final answer
    x = 375,118,878.84

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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.