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Finding the Third Proportional to 172,274,485.50 and 264,797,768.25

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Solution

The third proportional to 172,274,485.50 and 264,797,768.25 is: 407,012,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,274,485.50 : 264,797,768.25 = 264,797,768.25 : x
  2. Step 2: Convert to fraction form
    172,274,485.50/264,797,768.25 = 264,797,768.25/x
  3. Step 3: Cross multiply
    172,274,485.50x = 264,797,768.25 × 264,797,768.25
  4. Step 4: Simplify right side
    172,274,485.50x = 70,117,858,070,180,712
  5. Step 5: Solve for x
    x = 70,117,858,070,180,712/172,274,485.50
  6. Step 6: Final answer
    x = 407,012,436.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.