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Finding the Third Proportional to 103,900.50 and 224,415

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Solution

The third proportional to 103,900.50 and 224,415 is: 484,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,900.50 : 224,415 = 224,415 : x
  2. Step 2: Convert to fraction form
    103,900.50/224,415 = 224,415/x
  3. Step 3: Cross multiply
    103,900.50x = 224,415 × 224,415
  4. Step 4: Simplify right side
    103,900.50x = 50,362,092,225
  5. Step 5: Solve for x
    x = 50,362,092,225/103,900.50
  6. Step 6: Final answer
    x = 484,714.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.