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Finding the Third Proportional to 122,464,561.50 and 189,620,195.06

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Solution

The third proportional to 122,464,561.50 and 189,620,195.06 is: 293,601,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,464,561.50 : 189,620,195.06 = 189,620,195.06 : x
  2. Step 2: Convert to fraction form
    122,464,561.50/189,620,195.06 = 189,620,195.06/x
  3. Step 3: Cross multiply
    122,464,561.50x = 189,620,195.06 × 189,620,195.06
  4. Step 4: Simplify right side
    122,464,561.50x = 35,955,818,375,540,548
  5. Step 5: Solve for x
    x = 35,955,818,375,540,548/122,464,561.50
  6. Step 6: Final answer
    x = 293,601,821.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.