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Finding the Third Proportional to 46,140,180.75 and 100,201,965.75

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Solution

The third proportional to 46,140,180.75 and 100,201,965.75 is: 217,607,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,140,180.75 : 100,201,965.75 = 100,201,965.75 : x
  2. Step 2: Convert to fraction form
    46,140,180.75/100,201,965.75 = 100,201,965.75/x
  3. Step 3: Cross multiply
    46,140,180.75x = 100,201,965.75 × 100,201,965.75
  4. Step 4: Simplify right side
    46,140,180.75x = 10,040,433,940,164,174
  5. Step 5: Solve for x
    x = 10,040,433,940,164,174/46,140,180.75
  6. Step 6: Final answer
    x = 217,607,165.32

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