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Finding the Third Proportional to 40,434.75 and 94,420.13

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Solution

The third proportional to 40,434.75 and 94,420.13 is: 220,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,434.75 : 94,420.13 = 94,420.13 : x
  2. Step 2: Convert to fraction form
    40,434.75/94,420.13 = 94,420.13/x
  3. Step 3: Cross multiply
    40,434.75x = 94,420.13 × 94,420.13
  4. Step 4: Simplify right side
    40,434.75x = 8,915,160,005.02
  5. Step 5: Solve for x
    x = 8,915,160,005.02/40,434.75
  6. Step 6: Final answer
    x = 220,482.63

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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.