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Finding the Third Proportional to 98,571.94 and 213,750.14

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Solution

The third proportional to 98,571.94 and 213,750.14 is: 463,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,571.94 : 213,750.14 = 213,750.14 : x
  2. Step 2: Convert to fraction form
    98,571.94/213,750.14 = 213,750.14/x
  3. Step 3: Cross multiply
    98,571.94x = 213,750.14 × 213,750.14
  4. Step 4: Simplify right side
    98,571.94x = 45,689,122,617.21
  5. Step 5: Solve for x
    x = 45,689,122,617.21/98,571.94
  6. Step 6: Final answer
    x = 463,510.45

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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.