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Finding the Third Proportional to 206,989,738 and 442,699,524

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Solution

The third proportional to 206,989,738 and 442,699,524 is: 946,824,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,989,738 : 442,699,524 = 442,699,524 : x
  2. Step 2: Convert to fraction form
    206,989,738/442,699,524 = 442,699,524/x
  3. Step 3: Cross multiply
    206,989,738x = 442,699,524 × 442,699,524
  4. Step 4: Simplify right side
    206,989,738x = 195,982,868,549,826,560
  5. Step 5: Solve for x
    x = 195,982,868,549,826,560/206,989,738
  6. Step 6: Final answer
    x = 946,824,081.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.