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Finding the Third Proportional to 75,095,839.13 and 155,947,042.13

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Solution

The third proportional to 75,095,839.13 and 155,947,042.13 is: 323,845,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,095,839.13 : 155,947,042.13 = 155,947,042.13 : x
  2. Step 2: Convert to fraction form
    75,095,839.13/155,947,042.13 = 155,947,042.13/x
  3. Step 3: Cross multiply
    75,095,839.13x = 155,947,042.13 × 155,947,042.13
  4. Step 4: Simplify right side
    75,095,839.13x = 24,319,479,947,536,524
  5. Step 5: Solve for x
    x = 24,319,479,947,536,524/75,095,839.13
  6. Step 6: Final answer
    x = 323,845,904.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.