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Finding the Third Proportional to 98,272 and 209,392

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Solution

The third proportional to 98,272 and 209,392 is: 446,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,272 : 209,392 = 209,392 : x
  2. Step 2: Convert to fraction form
    98,272/209,392 = 209,392/x
  3. Step 3: Cross multiply
    98,272x = 209,392 × 209,392
  4. Step 4: Simplify right side
    98,272x = 43,845,009,664
  5. Step 5: Solve for x
    x = 43,845,009,664/98,272
  6. Step 6: Final answer
    x = 446,159.74

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