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Finding the Third Proportional to 84,290.63 and 179,698.50

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Solution

The third proportional to 84,290.63 and 179,698.50 is: 383,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,290.63 : 179,698.50 = 179,698.50 : x
  2. Step 2: Convert to fraction form
    84,290.63/179,698.50 = 179,698.50/x
  3. Step 3: Cross multiply
    84,290.63x = 179,698.50 × 179,698.50
  4. Step 4: Simplify right side
    84,290.63x = 32,291,550,902.25
  5. Step 5: Solve for x
    x = 32,291,550,902.25/84,290.63
  6. Step 6: Final answer
    x = 383,097.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.