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Finding the Third Proportional to 150,982,139,304 and 234,428,554,296

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Solution

The third proportional to 150,982,139,304 and 234,428,554,296 is: 363,995,021,680.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,982,139,304 : 234,428,554,296 = 234,428,554,296 : x
  2. Step 2: Convert to fraction form
    150,982,139,304/234,428,554,296 = 234,428,554,296/x
  3. Step 3: Cross multiply
    150,982,139,304x = 234,428,554,296 × 234,428,554,296
  4. Step 4: Simplify right side
    150,982,139,304x = 54,956,747,069,312,620,036,096
  5. Step 5: Solve for x
    x = 54,956,747,069,312,620,036,096/150,982,139,304
  6. Step 6: Final answer
    x = 363,995,021,680.40

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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.