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Finding the Third Proportional to 108,972 and 229,776

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Solution

The third proportional to 108,972 and 229,776 is: 484,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 229,776 = 229,776 : x
  2. Step 2: Convert to fraction form
    108,972/229,776 = 229,776/x
  3. Step 3: Cross multiply
    108,972x = 229,776 × 229,776
  4. Step 4: Simplify right side
    108,972x = 52,797,010,176
  5. Step 5: Solve for x
    x = 52,797,010,176/108,972
  6. Step 6: Final answer
    x = 484,500.70

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