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Finding the Third Proportional to 88,214 and 208,206

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Solution

The third proportional to 88,214 and 208,206 is: 491,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,214 : 208,206 = 208,206 : x
  2. Step 2: Convert to fraction form
    88,214/208,206 = 208,206/x
  3. Step 3: Cross multiply
    88,214x = 208,206 × 208,206
  4. Step 4: Simplify right side
    88,214x = 43,349,738,436
  5. Step 5: Solve for x
    x = 43,349,738,436/88,214
  6. Step 6: Final answer
    x = 491,415.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.