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Finding the Third Proportional to 38,751,860.25 and 83,067,529.50

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Solution

The third proportional to 38,751,860.25 and 83,067,529.50 is: 178,061,502.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,751,860.25 : 83,067,529.50 = 83,067,529.50 : x
  2. Step 2: Convert to fraction form
    38,751,860.25/83,067,529.50 = 83,067,529.50/x
  3. Step 3: Cross multiply
    38,751,860.25x = 83,067,529.50 × 83,067,529.50
  4. Step 4: Simplify right side
    38,751,860.25x = 6,900,214,457,233,370
  5. Step 5: Solve for x
    x = 6,900,214,457,233,370/38,751,860.25
  6. Step 6: Final answer
    x = 178,061,502.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.