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Finding the Third Proportional to 150,982,139,306 and 234,428,554,299

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Solution

The third proportional to 150,982,139,306 and 234,428,554,299 is: 363,995,021,684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,306 : 234,428,554,299 = 234,428,554,299 : x
  2. Step 2: Convert to fraction form
    150,982,139,306/234,428,554,299 = 234,428,554,299/x
  3. Step 3: Cross multiply
    150,982,139,306x = 234,428,554,299 × 234,428,554,299
  4. Step 4: Simplify right side
    150,982,139,306x = 54,956,747,070,719,188,271,104
  5. Step 5: Solve for x
    x = 54,956,747,070,719,188,271,104/150,982,139,306
  6. Step 6: Final answer
    x = 363,995,021,684.89

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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.