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Finding the Third Proportional to 122,726,049.75 and 264,920,181.19

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Solution

The third proportional to 122,726,049.75 and 264,920,181.19 is: 571,864,755.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,726,049.75 : 264,920,181.19 = 264,920,181.19 : x
  2. Step 2: Convert to fraction form
    122,726,049.75/264,920,181.19 = 264,920,181.19/x
  3. Step 3: Cross multiply
    122,726,049.75x = 264,920,181.19 × 264,920,181.19
  4. Step 4: Simplify right side
    122,726,049.75x = 70,182,702,400,417,832
  5. Step 5: Solve for x
    x = 70,182,702,400,417,832/122,726,049.75
  6. Step 6: Final answer
    x = 571,864,755.23

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