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Finding the Third Proportional to 149,288,056,990.50 and 329,005,773,945

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Solution

The third proportional to 149,288,056,990.50 and 329,005,773,945 is: 725,073,401,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288,056,990.50 : 329,005,773,945 = 329,005,773,945 : x
  2. Step 2: Convert to fraction form
    149,288,056,990.50/329,005,773,945 = 329,005,773,945/x
  3. Step 3: Cross multiply
    149,288,056,990.50x = 329,005,773,945 × 329,005,773,945
  4. Step 4: Simplify right side
    149,288,056,990.50x = 108,244,799,289,148,433,235,968
  5. Step 5: Solve for x
    x = 108,244,799,289,148,433,235,968/149,288,056,990.50
  6. Step 6: Final answer
    x = 725,073,401,524.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.