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Finding the Third Proportional to 58,912.31 and 109,213.31

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Solution

The third proportional to 58,912.31 and 109,213.31 is: 202,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,912.31 : 109,213.31 = 109,213.31 : x
  2. Step 2: Convert to fraction form
    58,912.31/109,213.31 = 109,213.31/x
  3. Step 3: Cross multiply
    58,912.31x = 109,213.31 × 109,213.31
  4. Step 4: Simplify right side
    58,912.31x = 11,927,547,627.22
  5. Step 5: Solve for x
    x = 11,927,547,627.22/58,912.31
  6. Step 6: Final answer
    x = 202,462.73

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.