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Finding the Third Proportional to 96,415.50 and 147,904.50

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Solution

The third proportional to 96,415.50 and 147,904.50 is: 226,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,415.50 : 147,904.50 = 147,904.50 : x
  2. Step 2: Convert to fraction form
    96,415.50/147,904.50 = 147,904.50/x
  3. Step 3: Cross multiply
    96,415.50x = 147,904.50 × 147,904.50
  4. Step 4: Simplify right side
    96,415.50x = 21,875,741,120.25
  5. Step 5: Solve for x
    x = 21,875,741,120.25/96,415.50
  6. Step 6: Final answer
    x = 226,890.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.