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Finding the Third Proportional to 230,092,862 and 310,971,546

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Solution

The third proportional to 230,092,862 and 310,971,546 is: 420,279,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,862 : 310,971,546 = 310,971,546 : x
  2. Step 2: Convert to fraction form
    230,092,862/310,971,546 = 310,971,546/x
  3. Step 3: Cross multiply
    230,092,862x = 310,971,546 × 310,971,546
  4. Step 4: Simplify right side
    230,092,862x = 96,703,302,421,630,112
  5. Step 5: Solve for x
    x = 96,703,302,421,630,112/230,092,862
  6. Step 6: Final answer
    x = 420,279,454.05

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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.