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Finding the Third Proportional to 96,288.75 and 148,214.81

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Solution

The third proportional to 96,288.75 and 148,214.81 is: 228,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,288.75 : 148,214.81 = 148,214.81 : x
  2. Step 2: Convert to fraction form
    96,288.75/148,214.81 = 148,214.81/x
  3. Step 3: Cross multiply
    96,288.75x = 148,214.81 × 148,214.81
  4. Step 4: Simplify right side
    96,288.75x = 21,967,630,644.41
  5. Step 5: Solve for x
    x = 21,967,630,644.41/96,288.75
  6. Step 6: Final answer
    x = 228,143.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.