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Finding the Third Proportional to 88,155 and 193,803.75

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Solution

The third proportional to 88,155 and 193,803.75 is: 426,066.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,155 : 193,803.75 = 193,803.75 : x
  2. Step 2: Convert to fraction form
    88,155/193,803.75 = 193,803.75/x
  3. Step 3: Cross multiply
    88,155x = 193,803.75 × 193,803.75
  4. Step 4: Simplify right side
    88,155x = 37,559,893,514.06
  5. Step 5: Solve for x
    x = 37,559,893,514.06/88,155
  6. Step 6: Final answer
    x = 426,066.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.