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Finding the Third Proportional to 41,416.31 and 88,488.07

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Solution

The third proportional to 41,416.31 and 88,488.07 is: 189,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,416.31 : 88,488.07 = 88,488.07 : x
  2. Step 2: Convert to fraction form
    41,416.31/88,488.07 = 88,488.07/x
  3. Step 3: Cross multiply
    41,416.31x = 88,488.07 × 88,488.07
  4. Step 4: Simplify right side
    41,416.31x = 7,830,138,587.63
  5. Step 5: Solve for x
    x = 7,830,138,587.63/41,416.31
  6. Step 6: Final answer
    x = 189,059.29

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.