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Finding the Third Proportional to 46,022,149.13 and 102,259,978.88

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Solution

The third proportional to 46,022,149.13 and 102,259,978.88 is: 227,218,925.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,022,149.13 : 102,259,978.88 = 102,259,978.88 : x
  2. Step 2: Convert to fraction form
    46,022,149.13/102,259,978.88 = 102,259,978.88/x
  3. Step 3: Cross multiply
    46,022,149.13x = 102,259,978.88 × 102,259,978.88
  4. Step 4: Simplify right side
    46,022,149.13x = 10,457,103,279,515,446
  5. Step 5: Solve for x
    x = 10,457,103,279,515,446/46,022,149.13
  6. Step 6: Final answer
    x = 227,218,925.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.