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Finding the Third Proportional to 105,500,160 and 222,336,000

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Solution

The third proportional to 105,500,160 and 222,336,000 is: 468,561,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,500,160 : 222,336,000 = 222,336,000 : x
  2. Step 2: Convert to fraction form
    105,500,160/222,336,000 = 222,336,000/x
  3. Step 3: Cross multiply
    105,500,160x = 222,336,000 × 222,336,000
  4. Step 4: Simplify right side
    105,500,160x = 49,433,296,896,000,000
  5. Step 5: Solve for x
    x = 49,433,296,896,000,000/105,500,160
  6. Step 6: Final answer
    x = 468,561,345.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.