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Finding the Third Proportional to 90,770.63 and 194,005.13

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Solution

The third proportional to 90,770.63 and 194,005.13 is: 414,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,770.63 : 194,005.13 = 194,005.13 : x
  2. Step 2: Convert to fraction form
    90,770.63/194,005.13 = 194,005.13/x
  3. Step 3: Cross multiply
    90,770.63x = 194,005.13 × 194,005.13
  4. Step 4: Simplify right side
    90,770.63x = 37,637,988,526.27
  5. Step 5: Solve for x
    x = 37,637,988,526.27/90,770.63
  6. Step 6: Final answer
    x = 414,649.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.