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Finding the Third Proportional to 150,930,624,273.50 and 323,063,414,563

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Solution

The third proportional to 150,930,624,273.50 and 323,063,414,563 is: 691,509,561,637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930,624,273.50 : 323,063,414,563 = 323,063,414,563 : x
  2. Step 2: Convert to fraction form
    150,930,624,273.50/323,063,414,563 = 323,063,414,563/x
  3. Step 3: Cross multiply
    150,930,624,273.50x = 323,063,414,563 × 323,063,414,563
  4. Step 4: Simplify right side
    150,930,624,273.50x = 104,369,969,829,104,807,051,264
  5. Step 5: Solve for x
    x = 104,369,969,829,104,807,051,264/150,930,624,273.50
  6. Step 6: Final answer
    x = 691,509,561,637.92

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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.