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Finding the Third Proportional to 88,834 and 190,844

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Solution

The third proportional to 88,834 and 190,844 is: 409,994.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,834 : 190,844 = 190,844 : x
  2. Step 2: Convert to fraction form
    88,834/190,844 = 190,844/x
  3. Step 3: Cross multiply
    88,834x = 190,844 × 190,844
  4. Step 4: Simplify right side
    88,834x = 36,421,432,336
  5. Step 5: Solve for x
    x = 36,421,432,336/88,834
  6. Step 6: Final answer
    x = 409,994.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.