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Finding the Third Proportional to 88,795 and 190,226

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Solution

The third proportional to 88,795 and 190,226 is: 407,522.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,795 : 190,226 = 190,226 : x
  2. Step 2: Convert to fraction form
    88,795/190,226 = 190,226/x
  3. Step 3: Cross multiply
    88,795x = 190,226 × 190,226
  4. Step 4: Simplify right side
    88,795x = 36,185,931,076
  5. Step 5: Solve for x
    x = 36,185,931,076/88,795
  6. Step 6: Final answer
    x = 407,522.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.