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Finding the Third Proportional to 89,067,148 and 137,910,382

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Solution

The third proportional to 89,067,148 and 137,910,382 is: 213,538,592.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,067,148 : 137,910,382 = 137,910,382 : x
  2. Step 2: Convert to fraction form
    89,067,148/137,910,382 = 137,910,382/x
  3. Step 3: Cross multiply
    89,067,148x = 137,910,382 × 137,910,382
  4. Step 4: Simplify right side
    89,067,148x = 19,019,273,463,385,924
  5. Step 5: Solve for x
    x = 19,019,273,463,385,924/89,067,148
  6. Step 6: Final answer
    x = 213,538,592.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.