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Finding the Third Proportional to 230,092,890 and 310,971,588

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Solution

The third proportional to 230,092,890 and 310,971,588 is: 420,279,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,890 : 310,971,588 = 310,971,588 : x
  2. Step 2: Convert to fraction form
    230,092,890/310,971,588 = 310,971,588/x
  3. Step 3: Cross multiply
    230,092,890x = 310,971,588 × 310,971,588
  4. Step 4: Simplify right side
    230,092,890x = 96,703,328,543,241,744
  5. Step 5: Solve for x
    x = 96,703,328,543,241,744/230,092,890
  6. Step 6: Final answer
    x = 420,279,516.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.