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Finding the Third Proportional to 240,097,096 and 516,594,620

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Solution

The third proportional to 240,097,096 and 516,594,620 is: 1,111,508,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,097,096 : 516,594,620 = 516,594,620 : x
  2. Step 2: Convert to fraction form
    240,097,096/516,594,620 = 516,594,620/x
  3. Step 3: Cross multiply
    240,097,096x = 516,594,620 × 516,594,620
  4. Step 4: Simplify right side
    240,097,096x = 266,870,001,412,944,384
  5. Step 5: Solve for x
    x = 266,870,001,412,944,384/240,097,096
  6. Step 6: Final answer
    x = 1,111,508,659.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.