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Finding the Third Proportional to 45,360.50 and 98,486.50

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Solution

The third proportional to 45,360.50 and 98,486.50 is: 213,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,360.50 : 98,486.50 = 98,486.50 : x
  2. Step 2: Convert to fraction form
    45,360.50/98,486.50 = 98,486.50/x
  3. Step 3: Cross multiply
    45,360.50x = 98,486.50 × 98,486.50
  4. Step 4: Simplify right side
    45,360.50x = 9,699,590,682.25
  5. Step 5: Solve for x
    x = 9,699,590,682.25/45,360.50
  6. Step 6: Final answer
    x = 213,833.42

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Why These Related Problems?

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