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Finding the Third Proportional to 103,226.91 and 209,359.69

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Solution

The third proportional to 103,226.91 and 209,359.69 is: 424,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,226.91 : 209,359.69 = 209,359.69 : x
  2. Step 2: Convert to fraction form
    103,226.91/209,359.69 = 209,359.69/x
  3. Step 3: Cross multiply
    103,226.91x = 209,359.69 × 209,359.69
  4. Step 4: Simplify right side
    103,226.91x = 43,831,478,750.10
  5. Step 5: Solve for x
    x = 43,831,478,750.10/103,226.91
  6. Step 6: Final answer
    x = 424,612.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.