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Finding the Third Proportional to 97,370 and 199,348

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Solution

The third proportional to 97,370 and 199,348 is: 408,130.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,370 : 199,348 = 199,348 : x
  2. Step 2: Convert to fraction form
    97,370/199,348 = 199,348/x
  3. Step 3: Cross multiply
    97,370x = 199,348 × 199,348
  4. Step 4: Simplify right side
    97,370x = 39,739,625,104
  5. Step 5: Solve for x
    x = 39,739,625,104/97,370
  6. Step 6: Final answer
    x = 408,130.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.