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Finding the Third Proportional to 83,473,898 and 115,345,137

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Solution

The third proportional to 83,473,898 and 115,345,137 is: 159,385,160.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,473,898 : 115,345,137 = 115,345,137 : x
  2. Step 2: Convert to fraction form
    83,473,898/115,345,137 = 115,345,137/x
  3. Step 3: Cross multiply
    83,473,898x = 115,345,137 × 115,345,137
  4. Step 4: Simplify right side
    83,473,898x = 13,304,500,629,548,768
  5. Step 5: Solve for x
    x = 13,304,500,629,548,768/83,473,898
  6. Step 6: Final answer
    x = 159,385,160.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.