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Finding the Third Proportional to 194,936.63 and 418,881.38

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Solution

The third proportional to 194,936.63 and 418,881.38 is: 900,095.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,936.63 : 418,881.38 = 418,881.38 : x
  2. Step 2: Convert to fraction form
    194,936.63/418,881.38 = 418,881.38/x
  3. Step 3: Cross multiply
    194,936.63x = 418,881.38 × 418,881.38
  4. Step 4: Simplify right side
    194,936.63x = 175,461,606,321.89
  5. Step 5: Solve for x
    x = 175,461,606,321.89/194,936.63
  6. Step 6: Final answer
    x = 900,095.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.