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Finding the Third Proportional to 83,583,219 and 126,638,932.50

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Solution

The third proportional to 83,583,219 and 126,638,932.50 is: 191,873,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583,219 : 126,638,932.50 = 126,638,932.50 : x
  2. Step 2: Convert to fraction form
    83,583,219/126,638,932.50 = 126,638,932.50/x
  3. Step 3: Cross multiply
    83,583,219x = 126,638,932.50 × 126,638,932.50
  4. Step 4: Simplify right side
    83,583,219x = 16,037,419,224,739,556
  5. Step 5: Solve for x
    x = 16,037,419,224,739,556/83,583,219
  6. Step 6: Final answer
    x = 191,873,672.93

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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.