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Finding the Third Proportional to 47,931.75 and 105,181.03

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Solution

The third proportional to 47,931.75 and 105,181.03 is: 230,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,931.75 : 105,181.03 = 105,181.03 : x
  2. Step 2: Convert to fraction form
    47,931.75/105,181.03 = 105,181.03/x
  3. Step 3: Cross multiply
    47,931.75x = 105,181.03 × 105,181.03
  4. Step 4: Simplify right side
    47,931.75x = 11,063,049,334.81
  5. Step 5: Solve for x
    x = 11,063,049,334.81/47,931.75
  6. Step 6: Final answer
    x = 230,808.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.