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Finding the Third Proportional to 44,575.50 and 97,898.25

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Solution

The third proportional to 44,575.50 and 97,898.25 is: 215,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,575.50 : 97,898.25 = 97,898.25 : x
  2. Step 2: Convert to fraction form
    44,575.50/97,898.25 = 97,898.25/x
  3. Step 3: Cross multiply
    44,575.50x = 97,898.25 × 97,898.25
  4. Step 4: Simplify right side
    44,575.50x = 9,584,067,353.06
  5. Step 5: Solve for x
    x = 9,584,067,353.06/44,575.50
  6. Step 6: Final answer
    x = 215,007.51

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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.