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Finding the Third Proportional to 212,262,210 and 461,907,540

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Solution

The third proportional to 212,262,210 and 461,907,540 is: 1,005,165,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,262,210 : 461,907,540 = 461,907,540 : x
  2. Step 2: Convert to fraction form
    212,262,210/461,907,540 = 461,907,540/x
  3. Step 3: Cross multiply
    212,262,210x = 461,907,540 × 461,907,540
  4. Step 4: Simplify right side
    212,262,210x = 213,358,575,508,851,584
  5. Step 5: Solve for x
    x = 213,358,575,508,851,584/212,262,210
  6. Step 6: Final answer
    x = 1,005,165,146.96

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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.