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Finding the Third Proportional to 44,094.38 and 96,967.55

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Solution

The third proportional to 44,094.38 and 96,967.55 is: 213,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,094.38 : 96,967.55 = 96,967.55 : x
  2. Step 2: Convert to fraction form
    44,094.38/96,967.55 = 96,967.55/x
  3. Step 3: Cross multiply
    44,094.38x = 96,967.55 × 96,967.55
  4. Step 4: Simplify right side
    44,094.38x = 9,402,705,146.96
  5. Step 5: Solve for x
    x = 9,402,705,146.96/44,094.38
  6. Step 6: Final answer
    x = 213,240.47

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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.