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Finding the Third Proportional to 213,505,986 and 466,161,459

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Solution

The third proportional to 213,505,986 and 466,161,459 is: 1,017,800,530.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,505,986 : 466,161,459 = 466,161,459 : x
  2. Step 2: Convert to fraction form
    213,505,986/466,161,459 = 466,161,459/x
  3. Step 3: Cross multiply
    213,505,986x = 466,161,459 × 466,161,459
  4. Step 4: Simplify right side
    213,505,986x = 217,306,505,857,008,672
  5. Step 5: Solve for x
    x = 217,306,505,857,008,672/213,505,986
  6. Step 6: Final answer
    x = 1,017,800,530.69

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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.