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Finding the Third Proportional to 150,936,905 and 326,108,306

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Solution

The third proportional to 150,936,905 and 326,108,306 is: 704,576,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,936,905 : 326,108,306 = 326,108,306 : x
  2. Step 2: Convert to fraction form
    150,936,905/326,108,306 = 326,108,306/x
  3. Step 3: Cross multiply
    150,936,905x = 326,108,306 × 326,108,306
  4. Step 4: Simplify right side
    150,936,905x = 106,346,627,242,189,632
  5. Step 5: Solve for x
    x = 106,346,627,242,189,632/150,936,905
  6. Step 6: Final answer
    x = 704,576,705.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.