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Finding the Third Proportional to 212,697,336 and 461,695,228

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Solution

The third proportional to 212,697,336 and 461,695,228 is: 1,002,186,898.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,697,336 : 461,695,228 = 461,695,228 : x
  2. Step 2: Convert to fraction form
    212,697,336/461,695,228 = 461,695,228/x
  3. Step 3: Cross multiply
    212,697,336x = 461,695,228 × 461,695,228
  4. Step 4: Simplify right side
    212,697,336x = 213,162,483,557,971,968
  5. Step 5: Solve for x
    x = 213,162,483,557,971,968/212,697,336
  6. Step 6: Final answer
    x = 1,002,186,898.84

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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.