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Finding the Third Proportional to 122,484.66 and 192,476.25

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Solution

The third proportional to 122,484.66 and 192,476.25 is: 302,463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,484.66 : 192,476.25 = 192,476.25 : x
  2. Step 2: Convert to fraction form
    122,484.66/192,476.25 = 192,476.25/x
  3. Step 3: Cross multiply
    122,484.66x = 192,476.25 × 192,476.25
  4. Step 4: Simplify right side
    122,484.66x = 37,047,106,814.06
  5. Step 5: Solve for x
    x = 37,047,106,814.06/122,484.66
  6. Step 6: Final answer
    x = 302,463.25

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.