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Finding the Third Proportional to 230,092,834 and 310,971,504

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Solution

The third proportional to 230,092,834 and 310,971,504 is: 420,279,391.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,834 : 310,971,504 = 310,971,504 : x
  2. Step 2: Convert to fraction form
    230,092,834/310,971,504 = 310,971,504/x
  3. Step 3: Cross multiply
    230,092,834x = 310,971,504 × 310,971,504
  4. Step 4: Simplify right side
    230,092,834x = 96,703,276,300,022,016
  5. Step 5: Solve for x
    x = 96,703,276,300,022,016/230,092,834
  6. Step 6: Final answer
    x = 420,279,391.67

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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.