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Finding the Third Proportional to 96,000.19 and 148,009.78

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Solution

The third proportional to 96,000.19 and 148,009.78 is: 228,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,000.19 : 148,009.78 = 148,009.78 : x
  2. Step 2: Convert to fraction form
    96,000.19/148,009.78 = 148,009.78/x
  3. Step 3: Cross multiply
    96,000.19x = 148,009.78 × 148,009.78
  4. Step 4: Simplify right side
    96,000.19x = 21,906,895,345.67
  5. Step 5: Solve for x
    x = 21,906,895,345.67/96,000.19
  6. Step 6: Final answer
    x = 228,196.38

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1.5x scale

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.