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Finding the Third Proportional to 223,387,676 and 486,997,701.75

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Solution

The third proportional to 223,387,676 and 486,997,701.75 is: 1,061,682,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,387,676 : 486,997,701.75 = 486,997,701.75 : x
  2. Step 2: Convert to fraction form
    223,387,676/486,997,701.75 = 486,997,701.75/x
  3. Step 3: Cross multiply
    223,387,676x = 486,997,701.75 × 486,997,701.75
  4. Step 4: Simplify right side
    223,387,676x = 237,166,761,509,781,952
  5. Step 5: Solve for x
    x = 237,166,761,509,781,952/223,387,676
  6. Step 6: Final answer
    x = 1,061,682,388.91

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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.