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Finding the Third Proportional to 45,581.48 and 99,387

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Solution

The third proportional to 45,581.48 and 99,387 is: 216,705.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,581.48 : 99,387 = 99,387 : x
  2. Step 2: Convert to fraction form
    45,581.48/99,387 = 99,387/x
  3. Step 3: Cross multiply
    45,581.48x = 99,387 × 99,387
  4. Step 4: Simplify right side
    45,581.48x = 9,877,775,769
  5. Step 5: Solve for x
    x = 9,877,775,769/45,581.48
  6. Step 6: Final answer
    x = 216,705.88

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Why These Related Problems?

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