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Finding the Third Proportional to 212,255,200 and 456,982,976

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Solution

The third proportional to 212,255,200 and 456,982,976 is: 983,879,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,255,200 : 456,982,976 = 456,982,976 : x
  2. Step 2: Convert to fraction form
    212,255,200/456,982,976 = 456,982,976/x
  3. Step 3: Cross multiply
    212,255,200x = 456,982,976 × 456,982,976
  4. Step 4: Simplify right side
    212,255,200x = 208,833,440,353,816,576
  5. Step 5: Solve for x
    x = 208,833,440,353,816,576/212,255,200
  6. Step 6: Final answer
    x = 983,879,030.31

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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.