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Finding the Third Proportional to 96,286 and 210,068

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Solution

The third proportional to 96,286 and 210,068 is: 458,307.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,286 : 210,068 = 210,068 : x
  2. Step 2: Convert to fraction form
    96,286/210,068 = 210,068/x
  3. Step 3: Cross multiply
    96,286x = 210,068 × 210,068
  4. Step 4: Simplify right side
    96,286x = 44,128,564,624
  5. Step 5: Solve for x
    x = 44,128,564,624/96,286
  6. Step 6: Final answer
    x = 458,307.17

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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.