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Finding the Third Proportional to 119,642,176 and 259,703,414

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Solution

The third proportional to 119,642,176 and 259,703,414 is: 563,729,827.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,176 : 259,703,414 = 259,703,414 : x
  2. Step 2: Convert to fraction form
    119,642,176/259,703,414 = 259,703,414/x
  3. Step 3: Cross multiply
    119,642,176x = 259,703,414 × 259,703,414
  4. Step 4: Simplify right side
    119,642,176x = 67,445,863,243,255,392
  5. Step 5: Solve for x
    x = 67,445,863,243,255,392/119,642,176
  6. Step 6: Final answer
    x = 563,729,827.54

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.