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Finding the Third Proportional to 122,552,598 and 264,472,233

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Solution

The third proportional to 122,552,598 and 264,472,233 is: 570,739,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,552,598 : 264,472,233 = 264,472,233 : x
  2. Step 2: Convert to fraction form
    122,552,598/264,472,233 = 264,472,233/x
  3. Step 3: Cross multiply
    122,552,598x = 264,472,233 × 264,472,233
  4. Step 4: Simplify right side
    122,552,598x = 69,945,562,028,006,288
  5. Step 5: Solve for x
    x = 69,945,562,028,006,288/122,552,598
  6. Step 6: Final answer
    x = 570,739,120.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.