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Finding the Third Proportional to 230,092,894 and 310,971,593

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Solution

The third proportional to 230,092,894 and 310,971,593 is: 420,279,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,894 : 310,971,593 = 310,971,593 : x
  2. Step 2: Convert to fraction form
    230,092,894/310,971,593 = 310,971,593/x
  3. Step 3: Cross multiply
    230,092,894x = 310,971,593 × 310,971,593
  4. Step 4: Simplify right side
    230,092,894x = 96,703,331,652,957,648
  5. Step 5: Solve for x
    x = 96,703,331,652,957,648/230,092,894
  6. Step 6: Final answer
    x = 420,279,522.64

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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.