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Finding the Third Proportional to 44,445.38 and 97,193.25

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Solution

The third proportional to 44,445.38 and 97,193.25 is: 212,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,445.38 : 97,193.25 = 97,193.25 : x
  2. Step 2: Convert to fraction form
    44,445.38/97,193.25 = 97,193.25/x
  3. Step 3: Cross multiply
    44,445.38x = 97,193.25 × 97,193.25
  4. Step 4: Simplify right side
    44,445.38x = 9,446,527,845.56
  5. Step 5: Solve for x
    x = 9,446,527,845.56/44,445.38
  6. Step 6: Final answer
    x = 212,542.43

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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.