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Finding the Third Proportional to 103,925 and 231,623.50

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Solution

The third proportional to 103,925 and 231,623.50 is: 516,232.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,925 : 231,623.50 = 231,623.50 : x
  2. Step 2: Convert to fraction form
    103,925/231,623.50 = 231,623.50/x
  3. Step 3: Cross multiply
    103,925x = 231,623.50 × 231,623.50
  4. Step 4: Simplify right side
    103,925x = 53,649,445,752.25
  5. Step 5: Solve for x
    x = 53,649,445,752.25/103,925
  6. Step 6: Final answer
    x = 516,232.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.