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Finding the Third Proportional to 99,999 and 216,954

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Solution

The third proportional to 99,999 and 216,954 is: 470,695.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,999 : 216,954 = 216,954 : x
  2. Step 2: Convert to fraction form
    99,999/216,954 = 216,954/x
  3. Step 3: Cross multiply
    99,999x = 216,954 × 216,954
  4. Step 4: Simplify right side
    99,999x = 47,069,038,116
  5. Step 5: Solve for x
    x = 47,069,038,116/99,999
  6. Step 6: Final answer
    x = 470,695.09

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.