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Finding the Third Proportional to 107,340,434 and 235,768,084

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Solution

The third proportional to 107,340,434 and 235,768,084 is: 517,853,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,340,434 : 235,768,084 = 235,768,084 : x
  2. Step 2: Convert to fraction form
    107,340,434/235,768,084 = 235,768,084/x
  3. Step 3: Cross multiply
    107,340,434x = 235,768,084 × 235,768,084
  4. Step 4: Simplify right side
    107,340,434x = 55,586,589,433,031,056
  5. Step 5: Solve for x
    x = 55,586,589,433,031,056/107,340,434
  6. Step 6: Final answer
    x = 517,853,220.47

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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.