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Finding the Third Proportional to 213,175,708 and 466,469,986

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Solution

The third proportional to 213,175,708 and 466,469,986 is: 1,020,727,220.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175,708 : 466,469,986 = 466,469,986 : x
  2. Step 2: Convert to fraction form
    213,175,708/466,469,986 = 466,469,986/x
  3. Step 3: Cross multiply
    213,175,708x = 466,469,986 × 466,469,986
  4. Step 4: Simplify right side
    213,175,708x = 217,594,247,838,840,192
  5. Step 5: Solve for x
    x = 217,594,247,838,840,192/213,175,708
  6. Step 6: Final answer
    x = 1,020,727,220.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.