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Finding the Third Proportional to 202,986 and 459,109.13

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Solution

The third proportional to 202,986 and 459,109.13 is: 1,038,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986 : 459,109.13 = 459,109.13 : x
  2. Step 2: Convert to fraction form
    202,986/459,109.13 = 459,109.13/x
  3. Step 3: Cross multiply
    202,986x = 459,109.13 × 459,109.13
  4. Step 4: Simplify right side
    202,986x = 210,781,188,658.27
  5. Step 5: Solve for x
    x = 210,781,188,658.27/202,986
  6. Step 6: Final answer
    x = 1,038,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.