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Finding the Third Proportional to 92,196 and 190,888

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Solution

The third proportional to 92,196 and 190,888 is: 395,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,196 : 190,888 = 190,888 : x
  2. Step 2: Convert to fraction form
    92,196/190,888 = 190,888/x
  3. Step 3: Cross multiply
    92,196x = 190,888 × 190,888
  4. Step 4: Simplify right side
    92,196x = 36,438,228,544
  5. Step 5: Solve for x
    x = 36,438,228,544/92,196
  6. Step 6: Final answer
    x = 395,225.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.