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Finding the Third Proportional to 88,222 and 208,229

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Solution

The third proportional to 88,222 and 208,229 is: 491,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,222 : 208,229 = 208,229 : x
  2. Step 2: Convert to fraction form
    88,222/208,229 = 208,229/x
  3. Step 3: Cross multiply
    88,222x = 208,229 × 208,229
  4. Step 4: Simplify right side
    88,222x = 43,359,316,441
  5. Step 5: Solve for x
    x = 43,359,316,441/88,222
  6. Step 6: Final answer
    x = 491,479.64

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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.