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Finding the Third Proportional to 99,213 and 141,819

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Solution

The third proportional to 99,213 and 141,819 is: 202,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,213 : 141,819 = 141,819 : x
  2. Step 2: Convert to fraction form
    99,213/141,819 = 141,819/x
  3. Step 3: Cross multiply
    99,213x = 141,819 × 141,819
  4. Step 4: Simplify right side
    99,213x = 20,112,628,761
  5. Step 5: Solve for x
    x = 20,112,628,761/99,213
  6. Step 6: Final answer
    x = 202,721.71

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.