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Finding the Third Proportional to 40,416.75 and 94,411.13

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Solution

The third proportional to 40,416.75 and 94,411.13 is: 220,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,416.75 : 94,411.13 = 94,411.13 : x
  2. Step 2: Convert to fraction form
    40,416.75/94,411.13 = 94,411.13/x
  3. Step 3: Cross multiply
    40,416.75x = 94,411.13 × 94,411.13
  4. Step 4: Simplify right side
    40,416.75x = 8,913,460,523.77
  5. Step 5: Solve for x
    x = 8,913,460,523.77/40,416.75
  6. Step 6: Final answer
    x = 220,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.