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Finding the Third Proportional to 103,344.19 and 148,095.56

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Solution

The third proportional to 103,344.19 and 148,095.56 is: 212,225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,344.19 : 148,095.56 = 148,095.56 : x
  2. Step 2: Convert to fraction form
    103,344.19/148,095.56 = 148,095.56/x
  3. Step 3: Cross multiply
    103,344.19x = 148,095.56 × 148,095.56
  4. Step 4: Simplify right side
    103,344.19x = 21,932,295,632.19
  5. Step 5: Solve for x
    x = 21,932,295,632.19/103,344.19
  6. Step 6: Final answer
    x = 212,225.73

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.