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Finding the Third Proportional to 45,670.50 and 70,238.81

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Solution

The third proportional to 45,670.50 and 70,238.81 is: 108,023.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,670.50 : 70,238.81 = 70,238.81 : x
  2. Step 2: Convert to fraction form
    45,670.50/70,238.81 = 70,238.81/x
  3. Step 3: Cross multiply
    45,670.50x = 70,238.81 × 70,238.81
  4. Step 4: Simplify right side
    45,670.50x = 4,933,490,781.41
  5. Step 5: Solve for x
    x = 4,933,490,781.41/45,670.50
  6. Step 6: Final answer
    x = 108,023.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.