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Finding the Third Proportional to 115,760,146 and 241,046,864

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Solution

The third proportional to 115,760,146 and 241,046,864 is: 501,930,868.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,760,146 : 241,046,864 = 241,046,864 : x
  2. Step 2: Convert to fraction form
    115,760,146/241,046,864 = 241,046,864/x
  3. Step 3: Cross multiply
    115,760,146x = 241,046,864 × 241,046,864
  4. Step 4: Simplify right side
    115,760,146x = 58,103,590,644,234,496
  5. Step 5: Solve for x
    x = 58,103,590,644,234,496/115,760,146
  6. Step 6: Final answer
    x = 501,930,868.71

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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.