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Finding the Third Proportional to 150,982,139,308 and 234,428,554,302

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Solution

The third proportional to 150,982,139,308 and 234,428,554,302 is: 363,995,021,689.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,308 : 234,428,554,302 = 234,428,554,302 : x
  2. Step 2: Convert to fraction form
    150,982,139,308/234,428,554,302 = 234,428,554,302/x
  3. Step 3: Cross multiply
    150,982,139,308x = 234,428,554,302 × 234,428,554,302
  4. Step 4: Simplify right side
    150,982,139,308x = 54,956,747,072,125,764,894,720
  5. Step 5: Solve for x
    x = 54,956,747,072,125,764,894,720/150,982,139,308
  6. Step 6: Final answer
    x = 363,995,021,689.39

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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.