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Finding the Third Proportional to 96,688 and 211,088

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Solution

The third proportional to 96,688 and 211,088 is: 460,844.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,688 : 211,088 = 211,088 : x
  2. Step 2: Convert to fraction form
    96,688/211,088 = 211,088/x
  3. Step 3: Cross multiply
    96,688x = 211,088 × 211,088
  4. Step 4: Simplify right side
    96,688x = 44,558,143,744
  5. Step 5: Solve for x
    x = 44,558,143,744/96,688
  6. Step 6: Final answer
    x = 460,844.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.