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Finding the Third Proportional to 88,018 and 193,460

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Solution

The third proportional to 88,018 and 193,460 is: 425,217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,018 : 193,460 = 193,460 : x
  2. Step 2: Convert to fraction form
    88,018/193,460 = 193,460/x
  3. Step 3: Cross multiply
    88,018x = 193,460 × 193,460
  4. Step 4: Simplify right side
    88,018x = 37,426,771,600
  5. Step 5: Solve for x
    x = 37,426,771,600/88,018
  6. Step 6: Final answer
    x = 425,217.25

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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.