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Finding the Third Proportional to 137,716,767 and 290,976,536.25

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Solution

The third proportional to 137,716,767 and 290,976,536.25 is: 614,793,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716,767 : 290,976,536.25 = 290,976,536.25 : x
  2. Step 2: Convert to fraction form
    137,716,767/290,976,536.25 = 290,976,536.25/x
  3. Step 3: Cross multiply
    137,716,767x = 290,976,536.25 × 290,976,536.25
  4. Step 4: Simplify right side
    137,716,767x = 84,667,344,648,047,568
  5. Step 5: Solve for x
    x = 84,667,344,648,047,568/137,716,767
  6. Step 6: Final answer
    x = 614,793,292.73

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.