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Finding the Third Proportional to 98,680.75 and 217,044.50

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Solution

The third proportional to 98,680.75 and 217,044.50 is: 477,381.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,680.75 : 217,044.50 = 217,044.50 : x
  2. Step 2: Convert to fraction form
    98,680.75/217,044.50 = 217,044.50/x
  3. Step 3: Cross multiply
    98,680.75x = 217,044.50 × 217,044.50
  4. Step 4: Simplify right side
    98,680.75x = 47,108,314,980.25
  5. Step 5: Solve for x
    x = 47,108,314,980.25/98,680.75
  6. Step 6: Final answer
    x = 477,381.00

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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.