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Finding the Third Proportional to 96,585.19 and 147,748.64

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Solution

The third proportional to 96,585.19 and 147,748.64 is: 226,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,585.19 : 147,748.64 = 147,748.64 : x
  2. Step 2: Convert to fraction form
    96,585.19/147,748.64 = 147,748.64/x
  3. Step 3: Cross multiply
    96,585.19x = 147,748.64 × 147,748.64
  4. Step 4: Simplify right side
    96,585.19x = 21,829,660,806.54
  5. Step 5: Solve for x
    x = 21,829,660,806.54/96,585.19
  6. Step 6: Final answer
    x = 226,014.58

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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.