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Finding the Third Proportional to 82,393,132 and 121,067,358

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Solution

The third proportional to 82,393,132 and 121,067,358 is: 177,894,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,393,132 : 121,067,358 = 121,067,358 : x
  2. Step 2: Convert to fraction form
    82,393,132/121,067,358 = 121,067,358/x
  3. Step 3: Cross multiply
    82,393,132x = 121,067,358 × 121,067,358
  4. Step 4: Simplify right side
    82,393,132x = 14,657,305,173,100,164
  5. Step 5: Solve for x
    x = 14,657,305,173,100,164/82,393,132
  6. Step 6: Final answer
    x = 177,894,744.59

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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.