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Finding the Third Proportional to 50,653.08 and 110,225.16

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Solution

The third proportional to 50,653.08 and 110,225.16 is: 239,858.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,653.08 : 110,225.16 = 110,225.16 : x
  2. Step 2: Convert to fraction form
    50,653.08/110,225.16 = 110,225.16/x
  3. Step 3: Cross multiply
    50,653.08x = 110,225.16 × 110,225.16
  4. Step 4: Simplify right side
    50,653.08x = 12,149,585,070.34
  5. Step 5: Solve for x
    x = 12,149,585,070.34/50,653.08
  6. Step 6: Final answer
    x = 239,858.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.