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Finding the Third Proportional to 67,095,324 and 146,752,767

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Solution

The third proportional to 67,095,324 and 146,752,767 is: 320,981,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,095,324 : 146,752,767 = 146,752,767 : x
  2. Step 2: Convert to fraction form
    67,095,324/146,752,767 = 146,752,767/x
  3. Step 3: Cross multiply
    67,095,324x = 146,752,767 × 146,752,767
  4. Step 4: Simplify right side
    67,095,324x = 21,536,374,622,156,288
  5. Step 5: Solve for x
    x = 21,536,374,622,156,288/67,095,324
  6. Step 6: Final answer
    x = 320,981,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.