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Finding the Third Proportional to 83,514,903 and 127,768,451

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Solution

The third proportional to 83,514,903 and 127,768,451 is: 195,471,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514,903 : 127,768,451 = 127,768,451 : x
  2. Step 2: Convert to fraction form
    83,514,903/127,768,451 = 127,768,451/x
  3. Step 3: Cross multiply
    83,514,903x = 127,768,451 × 127,768,451
  4. Step 4: Simplify right side
    83,514,903x = 16,324,777,070,939,400
  5. Step 5: Solve for x
    x = 16,324,777,070,939,400/83,514,903
  6. Step 6: Final answer
    x = 195,471,424.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.