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Finding the Third Proportional to 130,287,204 and 286,396,074

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Solution

The third proportional to 130,287,204 and 286,396,074 is: 629,553,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,287,204 : 286,396,074 = 286,396,074 : x
  2. Step 2: Convert to fraction form
    130,287,204/286,396,074 = 286,396,074/x
  3. Step 3: Cross multiply
    130,287,204x = 286,396,074 × 286,396,074
  4. Step 4: Simplify right side
    130,287,204x = 82,022,711,202,613,472
  5. Step 5: Solve for x
    x = 82,022,711,202,613,472/130,287,204
  6. Step 6: Final answer
    x = 629,553,084.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.