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Finding the Third Proportional to 99,106 and 213,764

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Solution

The third proportional to 99,106 and 213,764 is: 461,072.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,106 : 213,764 = 213,764 : x
  2. Step 2: Convert to fraction form
    99,106/213,764 = 213,764/x
  3. Step 3: Cross multiply
    99,106x = 213,764 × 213,764
  4. Step 4: Simplify right side
    99,106x = 45,695,047,696
  5. Step 5: Solve for x
    x = 45,695,047,696/99,106
  6. Step 6: Final answer
    x = 461,072.46

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