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Finding the Third Proportional to 109,064 and 230,703

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Solution

The third proportional to 109,064 and 230,703 is: 488,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064 : 230,703 = 230,703 : x
  2. Step 2: Convert to fraction form
    109,064/230,703 = 230,703/x
  3. Step 3: Cross multiply
    109,064x = 230,703 × 230,703
  4. Step 4: Simplify right side
    109,064x = 53,223,874,209
  5. Step 5: Solve for x
    x = 53,223,874,209/109,064
  6. Step 6: Final answer
    x = 488,005.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.