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Finding the Third Proportional to 98,853 and 217,386

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Solution

The third proportional to 98,853 and 217,386 is: 478,049.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,853 : 217,386 = 217,386 : x
  2. Step 2: Convert to fraction form
    98,853/217,386 = 217,386/x
  3. Step 3: Cross multiply
    98,853x = 217,386 × 217,386
  4. Step 4: Simplify right side
    98,853x = 47,256,672,996
  5. Step 5: Solve for x
    x = 47,256,672,996/98,853
  6. Step 6: Final answer
    x = 478,049.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.