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Finding the Third Proportional to 101,448.75 and 216,969

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Solution

The third proportional to 101,448.75 and 216,969 is: 464,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,448.75 : 216,969 = 216,969 : x
  2. Step 2: Convert to fraction form
    101,448.75/216,969 = 216,969/x
  3. Step 3: Cross multiply
    101,448.75x = 216,969 × 216,969
  4. Step 4: Simplify right side
    101,448.75x = 47,075,546,961
  5. Step 5: Solve for x
    x = 47,075,546,961/101,448.75
  6. Step 6: Final answer
    x = 464,032.79

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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.