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Finding the Third Proportional to 67,407,329.75 and 145,227,616

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Solution

The third proportional to 67,407,329.75 and 145,227,616 is: 312,889,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,407,329.75 : 145,227,616 = 145,227,616 : x
  2. Step 2: Convert to fraction form
    67,407,329.75/145,227,616 = 145,227,616/x
  3. Step 3: Cross multiply
    67,407,329.75x = 145,227,616 × 145,227,616
  4. Step 4: Simplify right side
    67,407,329.75x = 21,091,060,449,043,456
  5. Step 5: Solve for x
    x = 21,091,060,449,043,456/67,407,329.75
  6. Step 6: Final answer
    x = 312,889,718.78

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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.