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Finding the Third Proportional to 106,943.63 and 149,522.63

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Solution

The third proportional to 106,943.63 and 149,522.63 is: 209,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,943.63 : 149,522.63 = 149,522.63 : x
  2. Step 2: Convert to fraction form
    106,943.63/149,522.63 = 149,522.63/x
  3. Step 3: Cross multiply
    106,943.63x = 149,522.63 × 149,522.63
  4. Step 4: Simplify right side
    106,943.63x = 22,357,015,386.89
  5. Step 5: Solve for x
    x = 22,357,015,386.89/106,943.63
  6. Step 6: Final answer
    x = 209,054.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.