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Finding the Third Proportional to 82,027,226 and 119,926,670

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Solution

The third proportional to 82,027,226 and 119,926,670 is: 175,336,981.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,027,226 : 119,926,670 = 119,926,670 : x
  2. Step 2: Convert to fraction form
    82,027,226/119,926,670 = 119,926,670/x
  3. Step 3: Cross multiply
    82,027,226x = 119,926,670 × 119,926,670
  4. Step 4: Simplify right side
    82,027,226x = 14,382,406,177,288,900
  5. Step 5: Solve for x
    x = 14,382,406,177,288,900/82,027,226
  6. Step 6: Final answer
    x = 175,336,981.13

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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.