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Finding the Third Proportional to 96,309 and 148,108.50

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Solution

The third proportional to 96,309 and 148,108.50 is: 227,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,309 : 148,108.50 = 148,108.50 : x
  2. Step 2: Convert to fraction form
    96,309/148,108.50 = 148,108.50/x
  3. Step 3: Cross multiply
    96,309x = 148,108.50 × 148,108.50
  4. Step 4: Simplify right side
    96,309x = 21,936,127,772.25
  5. Step 5: Solve for x
    x = 21,936,127,772.25/96,309
  6. Step 6: Final answer
    x = 227,768.20

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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.