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Finding the Third Proportional to 69,938.44 and 151,051.08

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Solution

The third proportional to 69,938.44 and 151,051.08 is: 326,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,938.44 : 151,051.08 = 151,051.08 : x
  2. Step 2: Convert to fraction form
    69,938.44/151,051.08 = 151,051.08/x
  3. Step 3: Cross multiply
    69,938.44x = 151,051.08 × 151,051.08
  4. Step 4: Simplify right side
    69,938.44x = 22,816,428,202.72
  5. Step 5: Solve for x
    x = 22,816,428,202.72/69,938.44
  6. Step 6: Final answer
    x = 326,235.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.