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Finding the Third Proportional to 83,989,135.50 and 174,682,791

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Solution

The third proportional to 83,989,135.50 and 174,682,791 is: 363,309,817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,135.50 : 174,682,791 = 174,682,791 : x
  2. Step 2: Convert to fraction form
    83,989,135.50/174,682,791 = 174,682,791/x
  3. Step 3: Cross multiply
    83,989,135.50x = 174,682,791 × 174,682,791
  4. Step 4: Simplify right side
    83,989,135.50x = 30,514,077,471,549,680
  5. Step 5: Solve for x
    x = 30,514,077,471,549,680/83,989,135.50
  6. Step 6: Final answer
    x = 363,309,817.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.