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Finding the Third Proportional to 86,723,786 and 187,737,227.50

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Solution

The third proportional to 86,723,786 and 187,737,227.50 is: 406,408,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,723,786 : 187,737,227.50 = 187,737,227.50 : x
  2. Step 2: Convert to fraction form
    86,723,786/187,737,227.50 = 187,737,227.50/x
  3. Step 3: Cross multiply
    86,723,786x = 187,737,227.50 × 187,737,227.50
  4. Step 4: Simplify right side
    86,723,786x = 35,245,266,589,386,756
  5. Step 5: Solve for x
    x = 35,245,266,589,386,756/86,723,786
  6. Step 6: Final answer
    x = 406,408,301.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.