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Finding the Third Proportional to 119,367,992 and 189,813,540

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Solution

The third proportional to 119,367,992 and 189,813,540 is: 301,832,839.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,367,992 : 189,813,540 = 189,813,540 : x
  2. Step 2: Convert to fraction form
    119,367,992/189,813,540 = 189,813,540/x
  3. Step 3: Cross multiply
    119,367,992x = 189,813,540 × 189,813,540
  4. Step 4: Simplify right side
    119,367,992x = 36,029,179,967,331,600
  5. Step 5: Solve for x
    x = 36,029,179,967,331,600/119,367,992
  6. Step 6: Final answer
    x = 301,832,839.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.