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Finding the Third Proportional to 198,867,651.61 and 468,786,348.14

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Solution

The third proportional to 198,867,651.61 and 468,786,348.14 is: 1,105,059,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,867,651.61 : 468,786,348.14 = 468,786,348.14 : x
  2. Step 2: Convert to fraction form
    198,867,651.61/468,786,348.14 = 468,786,348.14/x
  3. Step 3: Cross multiply
    198,867,651.61x = 468,786,348.14 × 468,786,348.14
  4. Step 4: Simplify right side
    198,867,651.61x = 219,760,640,203,018,560
  5. Step 5: Solve for x
    x = 219,760,640,203,018,560/198,867,651.61
  6. Step 6: Final answer
    x = 1,105,059,764.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.