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Finding the Third Proportional to 230,936,841 and 502,527,870

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Solution

The third proportional to 230,936,841 and 502,527,870 is: 1,093,520,890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,936,841 : 502,527,870 = 502,527,870 : x
  2. Step 2: Convert to fraction form
    230,936,841/502,527,870 = 502,527,870/x
  3. Step 3: Cross multiply
    230,936,841x = 502,527,870 × 502,527,870
  4. Step 4: Simplify right side
    230,936,841x = 252,534,260,126,736,896
  5. Step 5: Solve for x
    x = 252,534,260,126,736,896/230,936,841
  6. Step 6: Final answer
    x = 1,093,520,890.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.