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Finding the Third Proportional to 82,027,228 and 119,926,672

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Solution

The third proportional to 82,027,228 and 119,926,672 is: 175,336,982.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,228 : 119,926,672 = 119,926,672 : x
  2. Step 2: Convert to fraction form
    82,027,228/119,926,672 = 119,926,672/x
  3. Step 3: Cross multiply
    82,027,228x = 119,926,672 × 119,926,672
  4. Step 4: Simplify right side
    82,027,228x = 14,382,406,656,995,584
  5. Step 5: Solve for x
    x = 14,382,406,656,995,584/82,027,228
  6. Step 6: Final answer
    x = 175,336,982.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.