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Finding the Third Proportional to 180,579,472.50 and 275,094,169.50

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Solution

The third proportional to 180,579,472.50 and 275,094,169.50 is: 419,077,545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,579,472.50 : 275,094,169.50 = 275,094,169.50 : x
  2. Step 2: Convert to fraction form
    180,579,472.50/275,094,169.50 = 275,094,169.50/x
  3. Step 3: Cross multiply
    180,579,472.50x = 275,094,169.50 × 275,094,169.50
  4. Step 4: Simplify right side
    180,579,472.50x = 75,676,802,092,894,736
  5. Step 5: Solve for x
    x = 75,676,802,092,894,736/180,579,472.50
  6. Step 6: Final answer
    x = 419,077,545.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.