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Finding the Third Proportional to 221,286,069 and 482,619,747.50

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Solution

The third proportional to 221,286,069 and 482,619,747.50 is: 1,052,582,395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,286,069 : 482,619,747.50 = 482,619,747.50 : x
  2. Step 2: Convert to fraction form
    221,286,069/482,619,747.50 = 482,619,747.50/x
  3. Step 3: Cross multiply
    221,286,069x = 482,619,747.50 × 482,619,747.50
  4. Step 4: Simplify right side
    221,286,069x = 232,921,820,676,963,744
  5. Step 5: Solve for x
    x = 232,921,820,676,963,744/221,286,069
  6. Step 6: Final answer
    x = 1,052,582,395.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.