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Finding the Third Proportional to 46,714,241.25 and 102,225,978

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Solution

The third proportional to 46,714,241.25 and 102,225,978 is: 223,703,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,714,241.25 : 102,225,978 = 102,225,978 : x
  2. Step 2: Convert to fraction form
    46,714,241.25/102,225,978 = 102,225,978/x
  3. Step 3: Cross multiply
    46,714,241.25x = 102,225,978 × 102,225,978
  4. Step 4: Simplify right side
    46,714,241.25x = 10,450,150,578,056,484
  5. Step 5: Solve for x
    x = 10,450,150,578,056,484/46,714,241.25
  6. Step 6: Final answer
    x = 223,703,742.12

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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.