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Finding the Third Proportional to 45,562.50 and 99,432

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Solution

The third proportional to 45,562.50 and 99,432 is: 216,992.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,562.50 : 99,432 = 99,432 : x
  2. Step 2: Convert to fraction form
    45,562.50/99,432 = 99,432/x
  3. Step 3: Cross multiply
    45,562.50x = 99,432 × 99,432
  4. Step 4: Simplify right side
    45,562.50x = 9,886,722,624
  5. Step 5: Solve for x
    x = 9,886,722,624/45,562.50
  6. Step 6: Final answer
    x = 216,992.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.