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Finding the Third Proportional to 40,902,132.94 and 87,472,969.03

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Solution

The third proportional to 40,902,132.94 and 87,472,969.03 is: 187,068,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902,132.94 : 87,472,969.03 = 87,472,969.03 : x
  2. Step 2: Convert to fraction form
    40,902,132.94/87,472,969.03 = 87,472,969.03/x
  3. Step 3: Cross multiply
    40,902,132.94x = 87,472,969.03 × 87,472,969.03
  4. Step 4: Simplify right side
    40,902,132.94x = 7,651,520,311,142,022
  5. Step 5: Solve for x
    x = 7,651,520,311,142,022/40,902,132.94
  6. Step 6: Final answer
    x = 187,068,980.55

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Why These Related Problems?

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