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Finding the Third Proportional to 106,325.16 and 230,105.81

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Solution

The third proportional to 106,325.16 and 230,105.81 is: 497,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,325.16 : 230,105.81 = 230,105.81 : x
  2. Step 2: Convert to fraction form
    106,325.16/230,105.81 = 230,105.81/x
  3. Step 3: Cross multiply
    106,325.16x = 230,105.81 × 230,105.81
  4. Step 4: Simplify right side
    106,325.16x = 52,948,684,946.29
  5. Step 5: Solve for x
    x = 52,948,684,946.29/106,325.16
  6. Step 6: Final answer
    x = 497,988.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.