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Finding the Third Proportional to 76,842,228.75 and 118,039,062.56

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Solution

The third proportional to 76,842,228.75 and 118,039,062.56 is: 181,322,438.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,842,228.75 : 118,039,062.56 = 118,039,062.56 : x
  2. Step 2: Convert to fraction form
    76,842,228.75/118,039,062.56 = 118,039,062.56/x
  3. Step 3: Cross multiply
    76,842,228.75x = 118,039,062.56 × 118,039,062.56
  4. Step 4: Simplify right side
    76,842,228.75x = 13,933,220,290,633,790
  5. Step 5: Solve for x
    x = 13,933,220,290,633,790/76,842,228.75
  6. Step 6: Final answer
    x = 181,322,438.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.