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Finding the Third Proportional to 76,854,378.75 and 167,354,581.50

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Solution

The third proportional to 76,854,378.75 and 167,354,581.50 is: 364,423,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854,378.75 : 167,354,581.50 = 167,354,581.50 : x
  2. Step 2: Convert to fraction form
    76,854,378.75/167,354,581.50 = 167,354,581.50/x
  3. Step 3: Cross multiply
    76,854,378.75x = 167,354,581.50 × 167,354,581.50
  4. Step 4: Simplify right side
    76,854,378.75x = 28,007,555,949,040,144
  5. Step 5: Solve for x
    x = 28,007,555,949,040,144/76,854,378.75
  6. Step 6: Final answer
    x = 364,423,685.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.