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Finding the Third Proportional to 40,590 and 93,219

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Solution

The third proportional to 40,590 and 93,219 is: 214,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,590 : 93,219 = 93,219 : x
  2. Step 2: Convert to fraction form
    40,590/93,219 = 93,219/x
  3. Step 3: Cross multiply
    40,590x = 93,219 × 93,219
  4. Step 4: Simplify right side
    40,590x = 8,689,781,961
  5. Step 5: Solve for x
    x = 8,689,781,961/40,590
  6. Step 6: Final answer
    x = 214,086.77

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.