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Finding the Third Proportional to 108,803 and 230,670

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Solution

The third proportional to 108,803 and 230,670 is: 489,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,803 : 230,670 = 230,670 : x
  2. Step 2: Convert to fraction form
    108,803/230,670 = 230,670/x
  3. Step 3: Cross multiply
    108,803x = 230,670 × 230,670
  4. Step 4: Simplify right side
    108,803x = 53,208,648,900
  5. Step 5: Solve for x
    x = 53,208,648,900/108,803
  6. Step 6: Final answer
    x = 489,036.60

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