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Finding the Third Proportional to 44,337 and 97,296.75

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Solution

The third proportional to 44,337 and 97,296.75 is: 213,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,337 : 97,296.75 = 97,296.75 : x
  2. Step 2: Convert to fraction form
    44,337/97,296.75 = 97,296.75/x
  3. Step 3: Cross multiply
    44,337x = 97,296.75 × 97,296.75
  4. Step 4: Simplify right side
    44,337x = 9,466,657,560.56
  5. Step 5: Solve for x
    x = 9,466,657,560.56/44,337
  6. Step 6: Final answer
    x = 213,515.97

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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.