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Finding the Third Proportional to 99,524 and 210,278

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Solution

The third proportional to 99,524 and 210,278 is: 444,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,524 : 210,278 = 210,278 : x
  2. Step 2: Convert to fraction form
    99,524/210,278 = 210,278/x
  3. Step 3: Cross multiply
    99,524x = 210,278 × 210,278
  4. Step 4: Simplify right side
    99,524x = 44,216,837,284
  5. Step 5: Solve for x
    x = 44,216,837,284/99,524
  6. Step 6: Final answer
    x = 444,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.