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Finding the Third Proportional to 98,912,906 and 212,451,604

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Solution

The third proportional to 98,912,906 and 212,451,604 is: 456,317,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,912,906 : 212,451,604 = 212,451,604 : x
  2. Step 2: Convert to fraction form
    98,912,906/212,451,604 = 212,451,604/x
  3. Step 3: Cross multiply
    98,912,906x = 212,451,604 × 212,451,604
  4. Step 4: Simplify right side
    98,912,906x = 45,135,684,042,172,816
  5. Step 5: Solve for x
    x = 45,135,684,042,172,816/98,912,906
  6. Step 6: Final answer
    x = 456,317,439.93

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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.