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Finding the Third Proportional to 226,486,724,261 and 339,398,782,071

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Solution

The third proportional to 226,486,724,261 and 339,398,782,071 is: 508,601,701,257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,486,724,261 : 339,398,782,071 = 339,398,782,071 : x
  2. Step 2: Convert to fraction form
    226,486,724,261/339,398,782,071 = 339,398,782,071/x
  3. Step 3: Cross multiply
    226,486,724,261x = 339,398,782,071 × 339,398,782,071
  4. Step 4: Simplify right side
    226,486,724,261x = 115,191,533,271,278,157,824,000
  5. Step 5: Solve for x
    x = 115,191,533,271,278,157,824,000/226,486,724,261
  6. Step 6: Final answer
    x = 508,601,701,257.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.