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Finding the Third Proportional to 106,944 and 216,484

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Solution

The third proportional to 106,944 and 216,484 is: 438,223.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,944 : 216,484 = 216,484 : x
  2. Step 2: Convert to fraction form
    106,944/216,484 = 216,484/x
  3. Step 3: Cross multiply
    106,944x = 216,484 × 216,484
  4. Step 4: Simplify right side
    106,944x = 46,865,322,256
  5. Step 5: Solve for x
    x = 46,865,322,256/106,944
  6. Step 6: Final answer
    x = 438,223.02

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.