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Finding the Third Proportional to 191,964.94 and 412,907.63

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Solution

The third proportional to 191,964.94 and 412,907.63 is: 888,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,964.94 : 412,907.63 = 412,907.63 : x
  2. Step 2: Convert to fraction form
    191,964.94/412,907.63 = 412,907.63/x
  3. Step 3: Cross multiply
    191,964.94x = 412,907.63 × 412,907.63
  4. Step 4: Simplify right side
    191,964.94x = 170,492,706,783.14
  5. Step 5: Solve for x
    x = 170,492,706,783.14/191,964.94
  6. Step 6: Final answer
    x = 888,145.04

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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.