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Finding the Third Proportional to 88,840 and 191,905

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Solution

The third proportional to 88,840 and 191,905 is: 414,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,840 : 191,905 = 191,905 : x
  2. Step 2: Convert to fraction form
    88,840/191,905 = 191,905/x
  3. Step 3: Cross multiply
    88,840x = 191,905 × 191,905
  4. Step 4: Simplify right side
    88,840x = 36,827,529,025
  5. Step 5: Solve for x
    x = 36,827,529,025/88,840
  6. Step 6: Final answer
    x = 414,537.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.