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Finding the Third Proportional to 44,307.84 and 97,227.84

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Solution

The third proportional to 44,307.84 and 97,227.84 is: 213,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,307.84 : 97,227.84 = 97,227.84 : x
  2. Step 2: Convert to fraction form
    44,307.84/97,227.84 = 97,227.84/x
  3. Step 3: Cross multiply
    44,307.84x = 97,227.84 × 97,227.84
  4. Step 4: Simplify right side
    44,307.84x = 9,453,253,600.27
  5. Step 5: Solve for x
    x = 9,453,253,600.27/44,307.84
  6. Step 6: Final answer
    x = 213,353.95

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