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Finding the Third Proportional to 348,099,969 and 522,150,016.50

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Solution

The third proportional to 348,099,969 and 522,150,016.50 is: 783,225,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,099,969 : 522,150,016.50 = 522,150,016.50 : x
  2. Step 2: Convert to fraction form
    348,099,969/522,150,016.50 = 522,150,016.50/x
  3. Step 3: Cross multiply
    348,099,969x = 522,150,016.50 × 522,150,016.50
  4. Step 4: Simplify right side
    348,099,969x = 272,640,639,730,950,272
  5. Step 5: Solve for x
    x = 272,640,639,730,950,272/348,099,969
  6. Step 6: Final answer
    x = 783,225,119.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.