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Finding the Third Proportional to 239,670,434 and 516,364,636

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Solution

The third proportional to 239,670,434 and 516,364,636 is: 1,112,496,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,670,434 : 516,364,636 = 516,364,636 : x
  2. Step 2: Convert to fraction form
    239,670,434/516,364,636 = 516,364,636/x
  3. Step 3: Cross multiply
    239,670,434x = 516,364,636 × 516,364,636
  4. Step 4: Simplify right side
    239,670,434x = 266,632,437,311,412,480
  5. Step 5: Solve for x
    x = 266,632,437,311,412,480/239,670,434
  6. Step 6: Final answer
    x = 1,112,496,159.25

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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.