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Finding the Third Proportional to 98,599.50 and 215,857.50

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Solution

The third proportional to 98,599.50 and 215,857.50 is: 472,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599.50 : 215,857.50 = 215,857.50 : x
  2. Step 2: Convert to fraction form
    98,599.50/215,857.50 = 215,857.50/x
  3. Step 3: Cross multiply
    98,599.50x = 215,857.50 × 215,857.50
  4. Step 4: Simplify right side
    98,599.50x = 46,594,460,306.25
  5. Step 5: Solve for x
    x = 46,594,460,306.25/98,599.50
  6. Step 6: Final answer
    x = 472,562.85

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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.