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Finding the Third Proportional to 64,443.50 and 141,494.50

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Solution

The third proportional to 64,443.50 and 141,494.50 is: 310,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,443.50 : 141,494.50 = 141,494.50 : x
  2. Step 2: Convert to fraction form
    64,443.50/141,494.50 = 141,494.50/x
  3. Step 3: Cross multiply
    64,443.50x = 141,494.50 × 141,494.50
  4. Step 4: Simplify right side
    64,443.50x = 20,020,693,530.25
  5. Step 5: Solve for x
    x = 20,020,693,530.25/64,443.50
  6. Step 6: Final answer
    x = 310,670.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.