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Finding the Third Proportional to 122,193.84 and 266,109.75

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Solution

The third proportional to 122,193.84 and 266,109.75 is: 579,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,193.84 : 266,109.75 = 266,109.75 : x
  2. Step 2: Convert to fraction form
    122,193.84/266,109.75 = 266,109.75/x
  3. Step 3: Cross multiply
    122,193.84x = 266,109.75 × 266,109.75
  4. Step 4: Simplify right side
    122,193.84x = 70,814,399,045.06
  5. Step 5: Solve for x
    x = 70,814,399,045.06/122,193.84
  6. Step 6: Final answer
    x = 579,525.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.