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Finding the Third Proportional to 230,092,874 and 310,971,563

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Solution

The third proportional to 230,092,874 and 310,971,563 is: 420,279,478.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,874 : 310,971,563 = 310,971,563 : x
  2. Step 2: Convert to fraction form
    230,092,874/310,971,563 = 310,971,563/x
  3. Step 3: Cross multiply
    230,092,874x = 310,971,563 × 310,971,563
  4. Step 4: Simplify right side
    230,092,874x = 96,703,312,994,662,976
  5. Step 5: Solve for x
    x = 96,703,312,994,662,976/230,092,874
  6. Step 6: Final answer
    x = 420,279,478.08

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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.