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Finding the Third Proportional to 98,617.50 and 215,892

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Solution

The third proportional to 98,617.50 and 215,892 is: 472,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,617.50 : 215,892 = 215,892 : x
  2. Step 2: Convert to fraction form
    98,617.50/215,892 = 215,892/x
  3. Step 3: Cross multiply
    98,617.50x = 215,892 × 215,892
  4. Step 4: Simplify right side
    98,617.50x = 46,609,355,664
  5. Step 5: Solve for x
    x = 46,609,355,664/98,617.50
  6. Step 6: Final answer
    x = 472,627.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.