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Finding the Third Proportional to 96,741,354 and 210,488,518

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Solution

The third proportional to 96,741,354 and 210,488,518 is: 457,978,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741,354 : 210,488,518 = 210,488,518 : x
  2. Step 2: Convert to fraction form
    96,741,354/210,488,518 = 210,488,518/x
  3. Step 3: Cross multiply
    96,741,354x = 210,488,518 × 210,488,518
  4. Step 4: Simplify right side
    96,741,354x = 44,305,416,209,836,320
  5. Step 5: Solve for x
    x = 44,305,416,209,836,320/96,741,354
  6. Step 6: Final answer
    x = 457,978,045.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.