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Finding the Third Proportional to 52,909,766 and 107,945,216

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Solution

The third proportional to 52,909,766 and 107,945,216 is: 220,227,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,909,766 : 107,945,216 = 107,945,216 : x
  2. Step 2: Convert to fraction form
    52,909,766/107,945,216 = 107,945,216/x
  3. Step 3: Cross multiply
    52,909,766x = 107,945,216 × 107,945,216
  4. Step 4: Simplify right side
    52,909,766x = 11,652,169,657,286,656
  5. Step 5: Solve for x
    x = 11,652,169,657,286,656/52,909,766
  6. Step 6: Final answer
    x = 220,227,200.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.