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Finding the Third Proportional to 96,210 and 210,523

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Solution

The third proportional to 96,210 and 210,523 is: 460,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,210 : 210,523 = 210,523 : x
  2. Step 2: Convert to fraction form
    96,210/210,523 = 210,523/x
  3. Step 3: Cross multiply
    96,210x = 210,523 × 210,523
  4. Step 4: Simplify right side
    96,210x = 44,319,933,529
  5. Step 5: Solve for x
    x = 44,319,933,529/96,210
  6. Step 6: Final answer
    x = 460,658.28

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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.