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Finding the Third Proportional to 46,489,800 and 101,350,224

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Solution

The third proportional to 46,489,800 and 101,350,224 is: 220,948,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,489,800 : 101,350,224 = 101,350,224 : x
  2. Step 2: Convert to fraction form
    46,489,800/101,350,224 = 101,350,224/x
  3. Step 3: Cross multiply
    46,489,800x = 101,350,224 × 101,350,224
  4. Step 4: Simplify right side
    46,489,800x = 10,271,867,904,850,176
  5. Step 5: Solve for x
    x = 10,271,867,904,850,176/46,489,800
  6. Step 6: Final answer
    x = 220,948,851.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.