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Finding the Third Proportional to 99,223 and 144,454

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Solution

The third proportional to 99,223 and 144,454 is: 210,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,223 : 144,454 = 144,454 : x
  2. Step 2: Convert to fraction form
    99,223/144,454 = 144,454/x
  3. Step 3: Cross multiply
    99,223x = 144,454 × 144,454
  4. Step 4: Simplify right side
    99,223x = 20,866,958,116
  5. Step 5: Solve for x
    x = 20,866,958,116/99,223
  6. Step 6: Final answer
    x = 210,303.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.