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Finding the Third Proportional to 212,697,341 and 461,695,237

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Solution

The third proportional to 212,697,341 and 461,695,237 is: 1,002,186,914.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697,341 : 461,695,237 = 461,695,237 : x
  2. Step 2: Convert to fraction form
    212,697,341/461,695,237 = 461,695,237/x
  3. Step 3: Cross multiply
    212,697,341x = 461,695,237 × 461,695,237
  4. Step 4: Simplify right side
    212,697,341x = 213,162,491,868,486,176
  5. Step 5: Solve for x
    x = 213,162,491,868,486,176/212,697,341
  6. Step 6: Final answer
    x = 1,002,186,914.36

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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.