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Finding the Third Proportional to 101,211.94 and 151,260.06

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Solution

The third proportional to 101,211.94 and 151,260.06 is: 226,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,211.94 : 151,260.06 = 151,260.06 : x
  2. Step 2: Convert to fraction form
    101,211.94/151,260.06 = 151,260.06/x
  3. Step 3: Cross multiply
    101,211.94x = 151,260.06 × 151,260.06
  4. Step 4: Simplify right side
    101,211.94x = 22,879,606,507.50
  5. Step 5: Solve for x
    x = 22,879,606,507.50/101,211.94
  6. Step 6: Final answer
    x = 226,056.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.