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Finding the Third Proportional to 103,343.06 and 148,093.88

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Solution

The third proportional to 103,343.06 and 148,093.88 is: 212,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,343.06 : 148,093.88 = 148,093.88 : x
  2. Step 2: Convert to fraction form
    103,343.06/148,093.88 = 148,093.88/x
  3. Step 3: Cross multiply
    103,343.06x = 148,093.88 × 148,093.88
  4. Step 4: Simplify right side
    103,343.06x = 21,931,795,812.52
  5. Step 5: Solve for x
    x = 21,931,795,812.52/103,343.06
  6. Step 6: Final answer
    x = 212,223.20

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Why These Related Problems?

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