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Finding the Third Proportional to 212,697,472 and 461,695,500

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Solution

The third proportional to 212,697,472 and 461,695,500 is: 1,002,187,438.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697,472 : 461,695,500 = 461,695,500 : x
  2. Step 2: Convert to fraction form
    212,697,472/461,695,500 = 461,695,500/x
  3. Step 3: Cross multiply
    212,697,472x = 461,695,500 × 461,695,500
  4. Step 4: Simplify right side
    212,697,472x = 213,162,734,720,249,984
  5. Step 5: Solve for x
    x = 213,162,734,720,249,984/212,697,472
  6. Step 6: Final answer
    x = 1,002,187,438.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.