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Finding the Third Proportional to 191,983.50 and 418,905

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Solution

The third proportional to 191,983.50 and 418,905 is: 914,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,983.50 : 418,905 = 418,905 : x
  2. Step 2: Convert to fraction form
    191,983.50/418,905 = 418,905/x
  3. Step 3: Cross multiply
    191,983.50x = 418,905 × 418,905
  4. Step 4: Simplify right side
    191,983.50x = 175,481,399,025
  5. Step 5: Solve for x
    x = 175,481,399,025/191,983.50
  6. Step 6: Final answer
    x = 914,044.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.