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Finding the Third Proportional to 97,902 and 204,237

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Solution

The third proportional to 97,902 and 204,237 is: 426,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902 : 204,237 = 204,237 : x
  2. Step 2: Convert to fraction form
    97,902/204,237 = 204,237/x
  3. Step 3: Cross multiply
    97,902x = 204,237 × 204,237
  4. Step 4: Simplify right side
    97,902x = 41,712,752,169
  5. Step 5: Solve for x
    x = 41,712,752,169/97,902
  6. Step 6: Final answer
    x = 426,066.39

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.