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Finding the Third Proportional to 108,693 and 229,176

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Solution

The third proportional to 108,693 and 229,176 is: 483,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,693 : 229,176 = 229,176 : x
  2. Step 2: Convert to fraction form
    108,693/229,176 = 229,176/x
  3. Step 3: Cross multiply
    108,693x = 229,176 × 229,176
  4. Step 4: Simplify right side
    108,693x = 52,521,638,976
  5. Step 5: Solve for x
    x = 52,521,638,976/108,693
  6. Step 6: Final answer
    x = 483,210.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.