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Finding the Third Proportional to 46,294 and 96,223

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Solution

The third proportional to 46,294 and 96,223 is: 200,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,294 : 96,223 = 96,223 : x
  2. Step 2: Convert to fraction form
    46,294/96,223 = 96,223/x
  3. Step 3: Cross multiply
    46,294x = 96,223 × 96,223
  4. Step 4: Simplify right side
    46,294x = 9,258,865,729
  5. Step 5: Solve for x
    x = 9,258,865,729/46,294
  6. Step 6: Final answer
    x = 200,001.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.