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Finding the Third Proportional to 106,051 and 228,707

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Solution

The third proportional to 106,051 and 228,707 is: 493,223.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051 : 228,707 = 228,707 : x
  2. Step 2: Convert to fraction form
    106,051/228,707 = 228,707/x
  3. Step 3: Cross multiply
    106,051x = 228,707 × 228,707
  4. Step 4: Simplify right side
    106,051x = 52,306,891,849
  5. Step 5: Solve for x
    x = 52,306,891,849/106,051
  6. Step 6: Final answer
    x = 493,223.94

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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.