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Finding the Third Proportional to 46,419.75 and 99,103.50

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Solution

The third proportional to 46,419.75 and 99,103.50 is: 211,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,419.75 : 99,103.50 = 99,103.50 : x
  2. Step 2: Convert to fraction form
    46,419.75/99,103.50 = 99,103.50/x
  3. Step 3: Cross multiply
    46,419.75x = 99,103.50 × 99,103.50
  4. Step 4: Simplify right side
    46,419.75x = 9,821,503,712.25
  5. Step 5: Solve for x
    x = 9,821,503,712.25/46,419.75
  6. Step 6: Final answer
    x = 211,580.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.