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Finding the Third Proportional to 150,930,624,279 and 323,063,414,573

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Solution

The third proportional to 150,930,624,279 and 323,063,414,573 is: 691,509,561,655.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930,624,279 : 323,063,414,573 = 323,063,414,573 : x
  2. Step 2: Convert to fraction form
    150,930,624,279/323,063,414,573 = 323,063,414,573/x
  3. Step 3: Cross multiply
    150,930,624,279x = 323,063,414,573 × 323,063,414,573
  4. Step 4: Simplify right side
    150,930,624,279x = 104,369,969,835,566,065,254,400
  5. Step 5: Solve for x
    x = 104,369,969,835,566,065,254,400/150,930,624,279
  6. Step 6: Final answer
    x = 691,509,561,655.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.