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Finding the Third Proportional to 182,293,105.50 and 399,163,086

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Solution

The third proportional to 182,293,105.50 and 399,163,086 is: 874,038,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,293,105.50 : 399,163,086 = 399,163,086 : x
  2. Step 2: Convert to fraction form
    182,293,105.50/399,163,086 = 399,163,086/x
  3. Step 3: Cross multiply
    182,293,105.50x = 399,163,086 × 399,163,086
  4. Step 4: Simplify right side
    182,293,105.50x = 159,331,169,225,043,392
  5. Step 5: Solve for x
    x = 159,331,169,225,043,392/182,293,105.50
  6. Step 6: Final answer
    x = 874,038,372.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.