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Finding the Third Proportional to 45,215.16 and 98,212.50

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Solution

The third proportional to 45,215.16 and 98,212.50 is: 213,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,215.16 : 98,212.50 = 98,212.50 : x
  2. Step 2: Convert to fraction form
    45,215.16/98,212.50 = 98,212.50/x
  3. Step 3: Cross multiply
    45,215.16x = 98,212.50 × 98,212.50
  4. Step 4: Simplify right side
    45,215.16x = 9,645,695,156.25
  5. Step 5: Solve for x
    x = 9,645,695,156.25/45,215.16
  6. Step 6: Final answer
    x = 213,328.80

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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.