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Finding the Third Proportional to 40,641.75 and 93,838.50

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Solution

The third proportional to 40,641.75 and 93,838.50 is: 216,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,641.75 : 93,838.50 = 93,838.50 : x
  2. Step 2: Convert to fraction form
    40,641.75/93,838.50 = 93,838.50/x
  3. Step 3: Cross multiply
    40,641.75x = 93,838.50 × 93,838.50
  4. Step 4: Simplify right side
    40,641.75x = 8,805,664,082.25
  5. Step 5: Solve for x
    x = 8,805,664,082.25/40,641.75
  6. Step 6: Final answer
    x = 216,665.48

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.