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Finding the Third Proportional to 103,802.63 and 155,163.38

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Solution

The third proportional to 103,802.63 and 155,163.38 is: 231,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,802.63 : 155,163.38 = 155,163.38 : x
  2. Step 2: Convert to fraction form
    103,802.63/155,163.38 = 155,163.38/x
  3. Step 3: Cross multiply
    103,802.63x = 155,163.38 × 155,163.38
  4. Step 4: Simplify right side
    103,802.63x = 24,075,672,941.39
  5. Step 5: Solve for x
    x = 24,075,672,941.39/103,802.63
  6. Step 6: Final answer
    x = 231,937.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.