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Finding the Third Proportional to 90,570 and 198,979.50

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Solution

The third proportional to 90,570 and 198,979.50 is: 437,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,570 : 198,979.50 = 198,979.50 : x
  2. Step 2: Convert to fraction form
    90,570/198,979.50 = 198,979.50/x
  3. Step 3: Cross multiply
    90,570x = 198,979.50 × 198,979.50
  4. Step 4: Simplify right side
    90,570x = 39,592,841,420.25
  5. Step 5: Solve for x
    x = 39,592,841,420.25/90,570
  6. Step 6: Final answer
    x = 437,151.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.