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Finding the Third Proportional to 137,941,672.50 and 229,893,589.13

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Solution

The third proportional to 137,941,672.50 and 229,893,589.13 is: 383,140,651.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,941,672.50 : 229,893,589.13 = 229,893,589.13 : x
  2. Step 2: Convert to fraction form
    137,941,672.50/229,893,589.13 = 229,893,589.13/x
  3. Step 3: Cross multiply
    137,941,672.50x = 229,893,589.13 × 229,893,589.13
  4. Step 4: Simplify right side
    137,941,672.50x = 52,851,062,320,774,320
  5. Step 5: Solve for x
    x = 52,851,062,320,774,320/137,941,672.50
  6. Step 6: Final answer
    x = 383,140,651.86

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.