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Finding the Third Proportional to 82,466,933 and 121,176,039

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Solution

The third proportional to 82,466,933 and 121,176,039 is: 178,054,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466,933 : 121,176,039 = 121,176,039 : x
  2. Step 2: Convert to fraction form
    82,466,933/121,176,039 = 121,176,039/x
  3. Step 3: Cross multiply
    82,466,933x = 121,176,039 × 121,176,039
  4. Step 4: Simplify right side
    82,466,933x = 14,683,632,427,729,520
  5. Step 5: Solve for x
    x = 14,683,632,427,729,520/82,466,933
  6. Step 6: Final answer
    x = 178,054,789.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.