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Finding the Third Proportional to 98,680.88 and 217,044.75

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Solution

The third proportional to 98,680.88 and 217,044.75 is: 477,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,680.88 : 217,044.75 = 217,044.75 : x
  2. Step 2: Convert to fraction form
    98,680.88/217,044.75 = 217,044.75/x
  3. Step 3: Cross multiply
    98,680.88x = 217,044.75 × 217,044.75
  4. Step 4: Simplify right side
    98,680.88x = 47,108,423,502.56
  5. Step 5: Solve for x
    x = 47,108,423,502.56/98,680.88
  6. Step 6: Final answer
    x = 477,381.49

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Why These Related Problems?

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