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Finding the Third Proportional to 50,582,101 and 119,366,214

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Solution

The third proportional to 50,582,101 and 119,366,214 is: 281,686,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582,101 : 119,366,214 = 119,366,214 : x
  2. Step 2: Convert to fraction form
    50,582,101/119,366,214 = 119,366,214/x
  3. Step 3: Cross multiply
    50,582,101x = 119,366,214 × 119,366,214
  4. Step 4: Simplify right side
    50,582,101x = 14,248,293,044,693,796
  5. Step 5: Solve for x
    x = 14,248,293,044,693,796/50,582,101
  6. Step 6: Final answer
    x = 281,686,461.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.