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Finding the Third Proportional to 105,873.01 and 232,736.10

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Solution

The third proportional to 105,873.01 and 232,736.10 is: 511,613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873.01 : 232,736.10 = 232,736.10 : x
  2. Step 2: Convert to fraction form
    105,873.01/232,736.10 = 232,736.10/x
  3. Step 3: Cross multiply
    105,873.01x = 232,736.10 × 232,736.10
  4. Step 4: Simplify right side
    105,873.01x = 54,166,091,152.26
  5. Step 5: Solve for x
    x = 54,166,091,152.26/105,873.01
  6. Step 6: Final answer
    x = 511,613.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.