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Finding the Third Proportional to 95,607 and 197,354

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Solution

The third proportional to 95,607 and 197,354 is: 407,382.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,607 : 197,354 = 197,354 : x
  2. Step 2: Convert to fraction form
    95,607/197,354 = 197,354/x
  3. Step 3: Cross multiply
    95,607x = 197,354 × 197,354
  4. Step 4: Simplify right side
    95,607x = 38,948,601,316
  5. Step 5: Solve for x
    x = 38,948,601,316/95,607
  6. Step 6: Final answer
    x = 407,382.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.