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Finding the Third Proportional to 115,751,502,371 and 250,737,322,306

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Solution

The third proportional to 115,751,502,371 and 250,737,322,306 is: 543,139,428,079.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,751,502,371 : 250,737,322,306 = 250,737,322,306 : x
  2. Step 2: Convert to fraction form
    115,751,502,371/250,737,322,306 = 250,737,322,306/x
  3. Step 3: Cross multiply
    115,751,502,371x = 250,737,322,306 × 250,737,322,306
  4. Step 4: Simplify right side
    115,751,502,371x = 62,869,204,797,182,925,864,960
  5. Step 5: Solve for x
    x = 62,869,204,797,182,925,864,960/115,751,502,371
  6. Step 6: Final answer
    x = 543,139,428,079.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.