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Finding the Third Proportional to 85,996,934 and 187,109,740

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Solution

The third proportional to 85,996,934 and 187,109,740 is: 407,108,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,996,934 : 187,109,740 = 187,109,740 : x
  2. Step 2: Convert to fraction form
    85,996,934/187,109,740 = 187,109,740/x
  3. Step 3: Cross multiply
    85,996,934x = 187,109,740 × 187,109,740
  4. Step 4: Simplify right side
    85,996,934x = 35,010,054,802,867,600
  5. Step 5: Solve for x
    x = 35,010,054,802,867,600/85,996,934
  6. Step 6: Final answer
    x = 407,108,174.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.