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Finding the Third Proportional to 68,148,576 and 147,795,552

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Solution

The third proportional to 68,148,576 and 147,795,552 is: 320,527,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,148,576 : 147,795,552 = 147,795,552 : x
  2. Step 2: Convert to fraction form
    68,148,576/147,795,552 = 147,795,552/x
  3. Step 3: Cross multiply
    68,148,576x = 147,795,552 × 147,795,552
  4. Step 4: Simplify right side
    68,148,576x = 21,843,525,190,984,704
  5. Step 5: Solve for x
    x = 21,843,525,190,984,704/68,148,576
  6. Step 6: Final answer
    x = 320,527,976.86

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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.