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Finding the Third Proportional to 195,347,196 and 406,770,552

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Solution

The third proportional to 195,347,196 and 406,770,552 is: 847,016,416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,347,196 : 406,770,552 = 406,770,552 : x
  2. Step 2: Convert to fraction form
    195,347,196/406,770,552 = 406,770,552/x
  3. Step 3: Cross multiply
    195,347,196x = 406,770,552 × 406,770,552
  4. Step 4: Simplify right side
    195,347,196x = 165,462,281,974,384,704
  5. Step 5: Solve for x
    x = 165,462,281,974,384,704/195,347,196
  6. Step 6: Final answer
    x = 847,016,416.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.