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Finding the Third Proportional to 151,661,264 and 326,683,792

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Solution

The third proportional to 151,661,264 and 326,683,792 is: 703,688,582.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,661,264 : 326,683,792 = 326,683,792 : x
  2. Step 2: Convert to fraction form
    151,661,264/326,683,792 = 326,683,792/x
  3. Step 3: Cross multiply
    151,661,264x = 326,683,792 × 326,683,792
  4. Step 4: Simplify right side
    151,661,264x = 106,722,299,955,499,264
  5. Step 5: Solve for x
    x = 106,722,299,955,499,264/151,661,264
  6. Step 6: Final answer
    x = 703,688,582.97

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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.