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Finding the Third Proportional to 50,582,097 and 119,366,203.50

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Solution

The third proportional to 50,582,097 and 119,366,203.50 is: 281,686,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,582,097 : 119,366,203.50 = 119,366,203.50 : x
  2. Step 2: Convert to fraction form
    50,582,097/119,366,203.50 = 119,366,203.50/x
  3. Step 3: Cross multiply
    50,582,097x = 119,366,203.50 × 119,366,203.50
  4. Step 4: Simplify right side
    50,582,097x = 14,248,290,538,003,412
  5. Step 5: Solve for x
    x = 14,248,290,538,003,412/50,582,097
  6. Step 6: Final answer
    x = 281,686,434.19

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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.