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Finding the Third Proportional to 88,303 and 193,110

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Solution

The third proportional to 88,303 and 193,110 is: 422,312.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,303 : 193,110 = 193,110 : x
  2. Step 2: Convert to fraction form
    88,303/193,110 = 193,110/x
  3. Step 3: Cross multiply
    88,303x = 193,110 × 193,110
  4. Step 4: Simplify right side
    88,303x = 37,291,472,100
  5. Step 5: Solve for x
    x = 37,291,472,100/88,303
  6. Step 6: Final answer
    x = 422,312.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.