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Finding the Third Proportional to 64,116 and 99,533.25

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Solution

The third proportional to 64,116 and 99,533.25 is: 154,514.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,116 : 99,533.25 = 99,533.25 : x
  2. Step 2: Convert to fraction form
    64,116/99,533.25 = 99,533.25/x
  3. Step 3: Cross multiply
    64,116x = 99,533.25 × 99,533.25
  4. Step 4: Simplify right side
    64,116x = 9,906,867,855.56
  5. Step 5: Solve for x
    x = 9,906,867,855.56/64,116
  6. Step 6: Final answer
    x = 154,514.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.