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Finding the Third Proportional to 150,300,822 and 232,723,785

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Solution

The third proportional to 150,300,822 and 232,723,785 is: 360,346,399.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300,822 : 232,723,785 = 232,723,785 : x
  2. Step 2: Convert to fraction form
    150,300,822/232,723,785 = 232,723,785/x
  3. Step 3: Cross multiply
    150,300,822x = 232,723,785 × 232,723,785
  4. Step 4: Simplify right side
    150,300,822x = 54,160,360,104,726,224
  5. Step 5: Solve for x
    x = 54,160,360,104,726,224/150,300,822
  6. Step 6: Final answer
    x = 360,346,399.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.