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Finding the Third Proportional to 123,166,865.25 and 172,194,525

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Solution

The third proportional to 123,166,865.25 and 172,194,525 is: 240,738,078.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,166,865.25 : 172,194,525 = 172,194,525 : x
  2. Step 2: Convert to fraction form
    123,166,865.25/172,194,525 = 172,194,525/x
  3. Step 3: Cross multiply
    123,166,865.25x = 172,194,525 × 172,194,525
  4. Step 4: Simplify right side
    123,166,865.25x = 29,650,954,439,975,624
  5. Step 5: Solve for x
    x = 29,650,954,439,975,624/123,166,865.25
  6. Step 6: Final answer
    x = 240,738,078.21

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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.