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Finding the Third Proportional to 67,992,705 and 145,686,976

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Solution

The third proportional to 67,992,705 and 145,686,976 is: 312,161,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,992,705 : 145,686,976 = 145,686,976 : x
  2. Step 2: Convert to fraction form
    67,992,705/145,686,976 = 145,686,976/x
  3. Step 3: Cross multiply
    67,992,705x = 145,686,976 × 145,686,976
  4. Step 4: Simplify right side
    67,992,705x = 21,224,694,976,024,576
  5. Step 5: Solve for x
    x = 21,224,694,976,024,576/67,992,705
  6. Step 6: Final answer
    x = 312,161,355.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.