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Finding the Third Proportional to 88,803 and 190,241

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Solution

The third proportional to 88,803 and 190,241 is: 407,549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,803 : 190,241 = 190,241 : x
  2. Step 2: Convert to fraction form
    88,803/190,241 = 190,241/x
  3. Step 3: Cross multiply
    88,803x = 190,241 × 190,241
  4. Step 4: Simplify right side
    88,803x = 36,191,638,081
  5. Step 5: Solve for x
    x = 36,191,638,081/88,803
  6. Step 6: Final answer
    x = 407,549.72

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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.