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Finding the Third Proportional to 99,263 and 219,262

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Solution

The third proportional to 99,263 and 219,262 is: 484,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,263 : 219,262 = 219,262 : x
  2. Step 2: Convert to fraction form
    99,263/219,262 = 219,262/x
  3. Step 3: Cross multiply
    99,263x = 219,262 × 219,262
  4. Step 4: Simplify right side
    99,263x = 48,075,824,644
  5. Step 5: Solve for x
    x = 48,075,824,644/99,263
  6. Step 6: Final answer
    x = 484,327.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.