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Finding the Third Proportional to 194,848.03 and 299,106.42

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Solution

The third proportional to 194,848.03 and 299,106.42 is: 459,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,848.03 : 299,106.42 = 299,106.42 : x
  2. Step 2: Convert to fraction form
    194,848.03/299,106.42 = 299,106.42/x
  3. Step 3: Cross multiply
    194,848.03x = 299,106.42 × 299,106.42
  4. Step 4: Simplify right side
    194,848.03x = 89,464,651,606.87
  5. Step 5: Solve for x
    x = 89,464,651,606.87/194,848.03
  6. Step 6: Final answer
    x = 459,150.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.