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Finding the Third Proportional to 230,981,912 and 313,798,602

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Solution

The third proportional to 230,981,912 and 313,798,602 is: 426,308,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,981,912 : 313,798,602 = 313,798,602 : x
  2. Step 2: Convert to fraction form
    230,981,912/313,798,602 = 313,798,602/x
  3. Step 3: Cross multiply
    230,981,912x = 313,798,602 × 313,798,602
  4. Step 4: Simplify right side
    230,981,912x = 98,469,562,617,154,400
  5. Step 5: Solve for x
    x = 98,469,562,617,154,400/230,981,912
  6. Step 6: Final answer
    x = 426,308,544.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.