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Finding the Third Proportional to 98,203 and 209,222

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Solution

The third proportional to 98,203 and 209,222 is: 445,748.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,203 : 209,222 = 209,222 : x
  2. Step 2: Convert to fraction form
    98,203/209,222 = 209,222/x
  3. Step 3: Cross multiply
    98,203x = 209,222 × 209,222
  4. Step 4: Simplify right side
    98,203x = 43,773,845,284
  5. Step 5: Solve for x
    x = 43,773,845,284/98,203
  6. Step 6: Final answer
    x = 445,748.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.