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Finding the Third Proportional to 44,587.13 and 97,764.38

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Solution

The third proportional to 44,587.13 and 97,764.38 is: 214,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,587.13 : 97,764.38 = 97,764.38 : x
  2. Step 2: Convert to fraction form
    44,587.13/97,764.38 = 97,764.38/x
  3. Step 3: Cross multiply
    44,587.13x = 97,764.38 × 97,764.38
  4. Step 4: Simplify right side
    44,587.13x = 9,557,873,019.14
  5. Step 5: Solve for x
    x = 9,557,873,019.14/44,587.13
  6. Step 6: Final answer
    x = 214,363.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.