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Finding the Third Proportional to 96,197.63 and 147,987

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Solution

The third proportional to 96,197.63 and 147,987 is: 227,657.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,197.63 : 147,987 = 147,987 : x
  2. Step 2: Convert to fraction form
    96,197.63/147,987 = 147,987/x
  3. Step 3: Cross multiply
    96,197.63x = 147,987 × 147,987
  4. Step 4: Simplify right side
    96,197.63x = 21,900,152,169
  5. Step 5: Solve for x
    x = 21,900,152,169/96,197.63
  6. Step 6: Final answer
    x = 227,657.93

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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.