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Finding the Third Proportional to 227,992,352.50 and 462,328,858.50

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Solution

The third proportional to 227,992,352.50 and 462,328,858.50 is: 937,522,557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,992,352.50 : 462,328,858.50 = 462,328,858.50 : x
  2. Step 2: Convert to fraction form
    227,992,352.50/462,328,858.50 = 462,328,858.50/x
  3. Step 3: Cross multiply
    227,992,352.50x = 462,328,858.50 × 462,328,858.50
  4. Step 4: Simplify right side
    227,992,352.50x = 213,747,973,401,913,024
  5. Step 5: Solve for x
    x = 213,747,973,401,913,024/227,992,352.50
  6. Step 6: Final answer
    x = 937,522,557.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.