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Finding the Third Proportional to 213,175,710 and 466,469,990

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Solution

The third proportional to 213,175,710 and 466,469,990 is: 1,020,727,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,175,710 : 466,469,990 = 466,469,990 : x
  2. Step 2: Convert to fraction form
    213,175,710/466,469,990 = 466,469,990/x
  3. Step 3: Cross multiply
    213,175,710x = 466,469,990 × 466,469,990
  4. Step 4: Simplify right side
    213,175,710x = 217,594,251,570,600,096
  5. Step 5: Solve for x
    x = 217,594,251,570,600,096/213,175,710
  6. Step 6: Final answer
    x = 1,020,727,228.12

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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.