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Finding the Third Proportional to 212,255,204 and 456,982,984

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Solution

The third proportional to 212,255,204 and 456,982,984 is: 983,879,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,255,204 : 456,982,984 = 456,982,984 : x
  2. Step 2: Convert to fraction form
    212,255,204/456,982,984 = 456,982,984/x
  3. Step 3: Cross multiply
    212,255,204x = 456,982,984 × 456,982,984
  4. Step 4: Simplify right side
    212,255,204x = 208,833,447,665,544,256
  5. Step 5: Solve for x
    x = 208,833,447,665,544,256/212,255,204
  6. Step 6: Final answer
    x = 983,879,046.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.