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Finding the Third Proportional to 103,477.50 and 186,401.25

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Solution

The third proportional to 103,477.50 and 186,401.25 is: 335,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,477.50 : 186,401.25 = 186,401.25 : x
  2. Step 2: Convert to fraction form
    103,477.50/186,401.25 = 186,401.25/x
  3. Step 3: Cross multiply
    103,477.50x = 186,401.25 × 186,401.25
  4. Step 4: Simplify right side
    103,477.50x = 34,745,426,001.56
  5. Step 5: Solve for x
    x = 34,745,426,001.56/103,477.50
  6. Step 6: Final answer
    x = 335,777.59

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These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.