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Finding the Third Proportional to 46,729,340 and 102,267,844

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Solution

The third proportional to 46,729,340 and 102,267,844 is: 223,814,672.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,729,340 : 102,267,844 = 102,267,844 : x
  2. Step 2: Convert to fraction form
    46,729,340/102,267,844 = 102,267,844/x
  3. Step 3: Cross multiply
    46,729,340x = 102,267,844 × 102,267,844
  4. Step 4: Simplify right side
    46,729,340x = 10,458,711,916,408,336
  5. Step 5: Solve for x
    x = 10,458,711,916,408,336/46,729,340
  6. Step 6: Final answer
    x = 223,814,672.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.