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Finding the Third Proportional to 46,377,445.50 and 100,746,189

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Solution

The third proportional to 46,377,445.50 and 100,746,189 is: 218,851,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,445.50 : 100,746,189 = 100,746,189 : x
  2. Step 2: Convert to fraction form
    46,377,445.50/100,746,189 = 100,746,189/x
  3. Step 3: Cross multiply
    46,377,445.50x = 100,746,189 × 100,746,189
  4. Step 4: Simplify right side
    46,377,445.50x = 10,149,794,598,023,720
  5. Step 5: Solve for x
    x = 10,149,794,598,023,720/46,377,445.50
  6. Step 6: Final answer
    x = 218,851,954.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.