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Finding the Third Proportional to 99,848 and 213,736

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Solution

The third proportional to 99,848 and 213,736 is: 457,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,848 : 213,736 = 213,736 : x
  2. Step 2: Convert to fraction form
    99,848/213,736 = 213,736/x
  3. Step 3: Cross multiply
    99,848x = 213,736 × 213,736
  4. Step 4: Simplify right side
    99,848x = 45,683,077,696
  5. Step 5: Solve for x
    x = 45,683,077,696/99,848
  6. Step 6: Final answer
    x = 457,526.22

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