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Finding the Third Proportional to 81,387 and 190,147.50

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Solution

The third proportional to 81,387 and 190,147.50 is: 444,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387 : 190,147.50 = 190,147.50 : x
  2. Step 2: Convert to fraction form
    81,387/190,147.50 = 190,147.50/x
  3. Step 3: Cross multiply
    81,387x = 190,147.50 × 190,147.50
  4. Step 4: Simplify right side
    81,387x = 36,156,071,756.25
  5. Step 5: Solve for x
    x = 36,156,071,756.25/81,387
  6. Step 6: Final answer
    x = 444,248.73

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.