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Finding the Third Proportional to 96,360 and 210,864

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Solution

The third proportional to 96,360 and 210,864 is: 461,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,360 : 210,864 = 210,864 : x
  2. Step 2: Convert to fraction form
    96,360/210,864 = 210,864/x
  3. Step 3: Cross multiply
    96,360x = 210,864 × 210,864
  4. Step 4: Simplify right side
    96,360x = 44,463,626,496
  5. Step 5: Solve for x
    x = 44,463,626,496/96,360
  6. Step 6: Final answer
    x = 461,432.40

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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.