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Finding the Third Proportional to 39,115.13 and 98,248.50

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Solution

The third proportional to 39,115.13 and 98,248.50 is: 246,778.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,115.13 : 98,248.50 = 98,248.50 : x
  2. Step 2: Convert to fraction form
    39,115.13/98,248.50 = 98,248.50/x
  3. Step 3: Cross multiply
    39,115.13x = 98,248.50 × 98,248.50
  4. Step 4: Simplify right side
    39,115.13x = 9,652,767,752.25
  5. Step 5: Solve for x
    x = 9,652,767,752.25/39,115.13
  6. Step 6: Final answer
    x = 246,778.39

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These problems maintain the same ratio (2.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.