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Finding the Third Proportional to 191,735.44 and 412,903.69

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Solution

The third proportional to 191,735.44 and 412,903.69 is: 889,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,735.44 : 412,903.69 = 412,903.69 : x
  2. Step 2: Convert to fraction form
    191,735.44/412,903.69 = 412,903.69/x
  3. Step 3: Cross multiply
    191,735.44x = 412,903.69 × 412,903.69
  4. Step 4: Simplify right side
    191,735.44x = 170,489,455,151.10
  5. Step 5: Solve for x
    x = 170,489,455,151.10/191,735.44
  6. Step 6: Final answer
    x = 889,191.16

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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.