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Finding the Third Proportional to 105,230.81 and 230,834.81

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Solution

The third proportional to 105,230.81 and 230,834.81 is: 506,360.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,230.81 : 230,834.81 = 230,834.81 : x
  2. Step 2: Convert to fraction form
    105,230.81/230,834.81 = 230,834.81/x
  3. Step 3: Cross multiply
    105,230.81x = 230,834.81 × 230,834.81
  4. Step 4: Simplify right side
    105,230.81x = 53,284,710,661.91
  5. Step 5: Solve for x
    x = 53,284,710,661.91/105,230.81
  6. Step 6: Final answer
    x = 506,360.35

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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.