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Finding the Third Proportional to 96,945.19 and 205,066.69

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Solution

The third proportional to 96,945.19 and 205,066.69 is: 433,774.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,945.19 : 205,066.69 = 205,066.69 : x
  2. Step 2: Convert to fraction form
    96,945.19/205,066.69 = 205,066.69/x
  3. Step 3: Cross multiply
    96,945.19x = 205,066.69 × 205,066.69
  4. Step 4: Simplify right side
    96,945.19x = 42,052,346,322.22
  5. Step 5: Solve for x
    x = 42,052,346,322.22/96,945.19
  6. Step 6: Final answer
    x = 433,774.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.