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Finding the Third Proportional to 46,191 and 98,698.50

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Solution

The third proportional to 46,191 and 98,698.50 is: 210,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,191 : 98,698.50 = 98,698.50 : x
  2. Step 2: Convert to fraction form
    46,191/98,698.50 = 98,698.50/x
  3. Step 3: Cross multiply
    46,191x = 98,698.50 × 98,698.50
  4. Step 4: Simplify right side
    46,191x = 9,741,393,902.25
  5. Step 5: Solve for x
    x = 9,741,393,902.25/46,191
  6. Step 6: Final answer
    x = 210,893.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.