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Finding the Third Proportional to 41,038.52 and 88,409.29

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Solution

The third proportional to 41,038.52 and 88,409.29 is: 190,460.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,038.52 : 88,409.29 = 88,409.29 : x
  2. Step 2: Convert to fraction form
    41,038.52/88,409.29 = 88,409.29/x
  3. Step 3: Cross multiply
    41,038.52x = 88,409.29 × 88,409.29
  4. Step 4: Simplify right side
    41,038.52x = 7,816,201,701.84
  5. Step 5: Solve for x
    x = 7,816,201,701.84/41,038.52
  6. Step 6: Final answer
    x = 190,460.11

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.