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Finding the Third Proportional to 86,925.66 and 190,458.84

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Solution

The third proportional to 86,925.66 and 190,458.84 is: 417,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,925.66 : 190,458.84 = 190,458.84 : x
  2. Step 2: Convert to fraction form
    86,925.66/190,458.84 = 190,458.84/x
  3. Step 3: Cross multiply
    86,925.66x = 190,458.84 × 190,458.84
  4. Step 4: Simplify right side
    86,925.66x = 36,274,571,162.59
  5. Step 5: Solve for x
    x = 36,274,571,162.59/86,925.66
  6. Step 6: Final answer
    x = 417,305.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.