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Finding the Third Proportional to 105,529.16 and 230,763.74

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Solution

The third proportional to 105,529.16 and 230,763.74 is: 504,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,529.16 : 230,763.74 = 230,763.74 : x
  2. Step 2: Convert to fraction form
    105,529.16/230,763.74 = 230,763.74/x
  3. Step 3: Cross multiply
    105,529.16x = 230,763.74 × 230,763.74
  4. Step 4: Simplify right side
    105,529.16x = 53,251,903,581.61
  5. Step 5: Solve for x
    x = 53,251,903,581.61/105,529.16
  6. Step 6: Final answer
    x = 504,617.92

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Why These Related Problems?

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