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Finding the Third Proportional to 46,466.25 and 98,926.50

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Solution

The third proportional to 46,466.25 and 98,926.50 is: 210,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,466.25 : 98,926.50 = 98,926.50 : x
  2. Step 2: Convert to fraction form
    46,466.25/98,926.50 = 98,926.50/x
  3. Step 3: Cross multiply
    46,466.25x = 98,926.50 × 98,926.50
  4. Step 4: Simplify right side
    46,466.25x = 9,786,452,402.25
  5. Step 5: Solve for x
    x = 9,786,452,402.25/46,466.25
  6. Step 6: Final answer
    x = 210,614.21

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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.