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Finding the Third Proportional to 103,798.13 and 226,983.94

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Solution

The third proportional to 103,798.13 and 226,983.94 is: 496,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,798.13 : 226,983.94 = 226,983.94 : x
  2. Step 2: Convert to fraction form
    103,798.13/226,983.94 = 226,983.94/x
  3. Step 3: Cross multiply
    103,798.13x = 226,983.94 × 226,983.94
  4. Step 4: Simplify right side
    103,798.13x = 51,521,707,883.00
  5. Step 5: Solve for x
    x = 51,521,707,883.00/103,798.13
  6. Step 6: Final answer
    x = 496,364.53

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.