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Finding the Third Proportional to 95,866.50 and 210,369

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Solution

The third proportional to 95,866.50 and 210,369 is: 461,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,866.50 : 210,369 = 210,369 : x
  2. Step 2: Convert to fraction form
    95,866.50/210,369 = 210,369/x
  3. Step 3: Cross multiply
    95,866.50x = 210,369 × 210,369
  4. Step 4: Simplify right side
    95,866.50x = 44,255,116,161
  5. Step 5: Solve for x
    x = 44,255,116,161/95,866.50
  6. Step 6: Final answer
    x = 461,632.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.