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Finding the Third Proportional to 106,116 and 230,894

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Solution

The third proportional to 106,116 and 230,894 is: 502,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,116 : 230,894 = 230,894 : x
  2. Step 2: Convert to fraction form
    106,116/230,894 = 230,894/x
  3. Step 3: Cross multiply
    106,116x = 230,894 × 230,894
  4. Step 4: Simplify right side
    106,116x = 53,312,039,236
  5. Step 5: Solve for x
    x = 53,312,039,236/106,116
  6. Step 6: Final answer
    x = 502,393.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.