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Finding the Third Proportional to 140,900,270 and 226,496,439

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Solution

The third proportional to 140,900,270 and 226,496,439 is: 364,091,828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,900,270 : 226,496,439 = 226,496,439 : x
  2. Step 2: Convert to fraction form
    140,900,270/226,496,439 = 226,496,439/x
  3. Step 3: Cross multiply
    140,900,270x = 226,496,439 × 226,496,439
  4. Step 4: Simplify right side
    140,900,270x = 51,300,636,879,680,720
  5. Step 5: Solve for x
    x = 51,300,636,879,680,720/140,900,270
  6. Step 6: Final answer
    x = 364,091,828.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.