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Finding the Third Proportional to 44,770.22 and 96,534.28

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Solution

The third proportional to 44,770.22 and 96,534.28 is: 208,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,770.22 : 96,534.28 = 96,534.28 : x
  2. Step 2: Convert to fraction form
    44,770.22/96,534.28 = 96,534.28/x
  3. Step 3: Cross multiply
    44,770.22x = 96,534.28 × 96,534.28
  4. Step 4: Simplify right side
    44,770.22x = 9,318,867,456.45
  5. Step 5: Solve for x
    x = 9,318,867,456.45/44,770.22
  6. Step 6: Final answer
    x = 208,148.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.