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Finding the Third Proportional to 99,257.91 and 214,915.78

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Solution

The third proportional to 99,257.91 and 214,915.78 is: 465,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,257.91 : 214,915.78 = 214,915.78 : x
  2. Step 2: Convert to fraction form
    99,257.91/214,915.78 = 214,915.78/x
  3. Step 3: Cross multiply
    99,257.91x = 214,915.78 × 214,915.78
  4. Step 4: Simplify right side
    99,257.91x = 46,188,793,030.30
  5. Step 5: Solve for x
    x = 46,188,793,030.30/99,257.91
  6. Step 6: Final answer
    x = 465,341.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.