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Finding the Third Proportional to 91,390.78 and 213,532.88

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Solution

The third proportional to 91,390.78 and 213,532.88 is: 498,915.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,390.78 : 213,532.88 = 213,532.88 : x
  2. Step 2: Convert to fraction form
    91,390.78/213,532.88 = 213,532.88/x
  3. Step 3: Cross multiply
    91,390.78x = 213,532.88 × 213,532.88
  4. Step 4: Simplify right side
    91,390.78x = 45,596,288,705.77
  5. Step 5: Solve for x
    x = 45,596,288,705.77/91,390.78
  6. Step 6: Final answer
    x = 498,915.62

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.