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Finding the Third Proportional to 88,686 and 194,618

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Solution

The third proportional to 88,686 and 194,618 is: 427,081.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,686 : 194,618 = 194,618 : x
  2. Step 2: Convert to fraction form
    88,686/194,618 = 194,618/x
  3. Step 3: Cross multiply
    88,686x = 194,618 × 194,618
  4. Step 4: Simplify right side
    88,686x = 37,876,165,924
  5. Step 5: Solve for x
    x = 37,876,165,924/88,686
  6. Step 6: Final answer
    x = 427,081.68

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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.