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Finding the Third Proportional to 103,218.47 and 159,524.02

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Solution

The third proportional to 103,218.47 and 159,524.02 is: 246,544.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,218.47 : 159,524.02 = 159,524.02 : x
  2. Step 2: Convert to fraction form
    103,218.47/159,524.02 = 159,524.02/x
  3. Step 3: Cross multiply
    103,218.47x = 159,524.02 × 159,524.02
  4. Step 4: Simplify right side
    103,218.47x = 25,447,911,561.13
  5. Step 5: Solve for x
    x = 25,447,911,561.13/103,218.47
  6. Step 6: Final answer
    x = 246,544.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.