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Finding the Third Proportional to 97,077.56 and 147,119.91

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Solution

The third proportional to 97,077.56 and 147,119.91 is: 222,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077.56 : 147,119.91 = 147,119.91 : x
  2. Step 2: Convert to fraction form
    97,077.56/147,119.91 = 147,119.91/x
  3. Step 3: Cross multiply
    97,077.56x = 147,119.91 × 147,119.91
  4. Step 4: Simplify right side
    97,077.56x = 21,644,266,815.01
  5. Step 5: Solve for x
    x = 21,644,266,815.01/97,077.56
  6. Step 6: Final answer
    x = 222,958.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.