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Finding the Third Proportional to 151,627,344 and 221,754,384

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Solution

The third proportional to 151,627,344 and 221,754,384 is: 324,314,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,627,344 : 221,754,384 = 221,754,384 : x
  2. Step 2: Convert to fraction form
    151,627,344/221,754,384 = 221,754,384/x
  3. Step 3: Cross multiply
    151,627,344x = 221,754,384 × 221,754,384
  4. Step 4: Simplify right side
    151,627,344x = 49,175,006,823,219,456
  5. Step 5: Solve for x
    x = 49,175,006,823,219,456/151,627,344
  6. Step 6: Final answer
    x = 324,314,899.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.