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Finding the Third Proportional to 64,774.69 and 100,100.81

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Solution

The third proportional to 64,774.69 and 100,100.81 is: 154,692.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,774.69 : 100,100.81 = 100,100.81 : x
  2. Step 2: Convert to fraction form
    64,774.69/100,100.81 = 100,100.81/x
  3. Step 3: Cross multiply
    64,774.69x = 100,100.81 × 100,100.81
  4. Step 4: Simplify right side
    64,774.69x = 10,020,172,663.16
  5. Step 5: Solve for x
    x = 10,020,172,663.16/64,774.69
  6. Step 6: Final answer
    x = 154,692.72

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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.