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Finding the Third Proportional to 46,793,794.50 and 100,986,149.25

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Solution

The third proportional to 46,793,794.50 and 100,986,149.25 is: 217,939,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,793,794.50 : 100,986,149.25 = 100,986,149.25 : x
  2. Step 2: Convert to fraction form
    46,793,794.50/100,986,149.25 = 100,986,149.25/x
  3. Step 3: Cross multiply
    46,793,794.50x = 100,986,149.25 × 100,986,149.25
  4. Step 4: Simplify right side
    46,793,794.50x = 10,198,202,340,343,276
  5. Step 5: Solve for x
    x = 10,198,202,340,343,276/46,793,794.50
  6. Step 6: Final answer
    x = 217,939,204.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.