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Finding the Third Proportional to 150,982,139,316 and 234,428,554,314

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Solution

The third proportional to 150,982,139,316 and 234,428,554,314 is: 363,995,021,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,316 : 234,428,554,314 = 234,428,554,314 : x
  2. Step 2: Convert to fraction form
    150,982,139,316/234,428,554,314 = 234,428,554,314/x
  3. Step 3: Cross multiply
    150,982,139,316x = 234,428,554,314 × 234,428,554,314
  4. Step 4: Simplify right side
    150,982,139,316x = 54,956,747,077,752,046,223,360
  5. Step 5: Solve for x
    x = 54,956,747,077,752,046,223,360/150,982,139,316
  6. Step 6: Final answer
    x = 363,995,021,707.37

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