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Finding the Third Proportional to 150,982,139,388 and 234,428,554,422

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Solution

The third proportional to 150,982,139,388 and 234,428,554,422 is: 363,995,021,869.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,388 : 234,428,554,422 = 234,428,554,422 : x
  2. Step 2: Convert to fraction form
    150,982,139,388/234,428,554,422 = 234,428,554,422/x
  3. Step 3: Cross multiply
    150,982,139,388x = 234,428,554,422 × 234,428,554,422
  4. Step 4: Simplify right side
    150,982,139,388x = 54,956,747,128,388,611,735,552
  5. Step 5: Solve for x
    x = 54,956,747,128,388,611,735,552/150,982,139,388
  6. Step 6: Final answer
    x = 363,995,021,869.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.