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Finding the Third Proportional to 221,165,245.75 and 343,401,206.50

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Solution

The third proportional to 221,165,245.75 and 343,401,206.50 is: 533,195,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,165,245.75 : 343,401,206.50 = 343,401,206.50 : x
  2. Step 2: Convert to fraction form
    221,165,245.75/343,401,206.50 = 343,401,206.50/x
  3. Step 3: Cross multiply
    221,165,245.75x = 343,401,206.50 × 343,401,206.50
  4. Step 4: Simplify right side
    221,165,245.75x = 117,924,388,625,655,648
  5. Step 5: Solve for x
    x = 117,924,388,625,655,648/221,165,245.75
  6. Step 6: Final answer
    x = 533,195,838.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.