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Finding the Third Proportional to 232,487,676 and 505,834,020

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Solution

The third proportional to 232,487,676 and 505,834,020 is: 1,100,566,103.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,487,676 : 505,834,020 = 505,834,020 : x
  2. Step 2: Convert to fraction form
    232,487,676/505,834,020 = 505,834,020/x
  3. Step 3: Cross multiply
    232,487,676x = 505,834,020 × 505,834,020
  4. Step 4: Simplify right side
    232,487,676x = 255,868,055,789,360,384
  5. Step 5: Solve for x
    x = 255,868,055,789,360,384/232,487,676
  6. Step 6: Final answer
    x = 1,100,566,103.94

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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.