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Finding the Third Proportional to 230,092,892 and 310,971,590

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Solution

The third proportional to 230,092,892 and 310,971,590 is: 420,279,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,892 : 310,971,590 = 310,971,590 : x
  2. Step 2: Convert to fraction form
    230,092,892/310,971,590 = 310,971,590/x
  3. Step 3: Cross multiply
    230,092,892x = 310,971,590 × 310,971,590
  4. Step 4: Simplify right side
    230,092,892x = 96,703,329,787,128,096
  5. Step 5: Solve for x
    x = 96,703,329,787,128,096/230,092,892
  6. Step 6: Final answer
    x = 420,279,518.18

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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.