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Finding the Third Proportional to 131,944,899 and 178,995,214

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Solution

The third proportional to 131,944,899 and 178,995,214 is: 242,823,230.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,944,899 : 178,995,214 = 178,995,214 : x
  2. Step 2: Convert to fraction form
    131,944,899/178,995,214 = 178,995,214/x
  3. Step 3: Cross multiply
    131,944,899x = 178,995,214 × 178,995,214
  4. Step 4: Simplify right side
    131,944,899x = 32,039,286,634,905,796
  5. Step 5: Solve for x
    x = 32,039,286,634,905,796/131,944,899
  6. Step 6: Final answer
    x = 242,823,230.59

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.