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Finding the Third Proportional to 86,231,893 and 129,316,174

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Solution

The third proportional to 86,231,893 and 129,316,174 is: 193,926,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,231,893 : 129,316,174 = 129,316,174 : x
  2. Step 2: Convert to fraction form
    86,231,893/129,316,174 = 129,316,174/x
  3. Step 3: Cross multiply
    86,231,893x = 129,316,174 × 129,316,174
  4. Step 4: Simplify right side
    86,231,893x = 16,722,672,857,998,276
  5. Step 5: Solve for x
    x = 16,722,672,857,998,276/86,231,893
  6. Step 6: Final answer
    x = 193,926,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.