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Finding the Third Proportional to 89,048 and 190,368

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Solution

The third proportional to 89,048 and 190,368 is: 406,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,048 : 190,368 = 190,368 : x
  2. Step 2: Convert to fraction form
    89,048/190,368 = 190,368/x
  3. Step 3: Cross multiply
    89,048x = 190,368 × 190,368
  4. Step 4: Simplify right side
    89,048x = 36,239,975,424
  5. Step 5: Solve for x
    x = 36,239,975,424/89,048
  6. Step 6: Final answer
    x = 406,971.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.