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Finding the Third Proportional to 195,028,911 and 406,200,312

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Solution

The third proportional to 195,028,911 and 406,200,312 is: 846,021,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,028,911 : 406,200,312 = 406,200,312 : x
  2. Step 2: Convert to fraction form
    195,028,911/406,200,312 = 406,200,312/x
  3. Step 3: Cross multiply
    195,028,911x = 406,200,312 × 406,200,312
  4. Step 4: Simplify right side
    195,028,911x = 164,998,693,468,897,344
  5. Step 5: Solve for x
    x = 164,998,693,468,897,344/195,028,911
  6. Step 6: Final answer
    x = 846,021,713.51

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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.