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Finding the Third Proportional to 99.38 and 145.22

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Solution

The third proportional to 99.38 and 145.22 is: 212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 145.22 = 145.22 : x
  2. Step 2: Convert to fraction form
    99.38/145.22 = 145.22/x
  3. Step 3: Cross multiply
    99.38x = 145.22 × 145.22
  4. Step 4: Simplify right side
    99.38x = 21,088.49
  5. Step 5: Solve for x
    x = 21,088.49/99.38
  6. Step 6: Final answer
    x = 212.21

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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.