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Finding the Third Proportional to 97,275.94 and 214,736.06

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Solution

The third proportional to 97,275.94 and 214,736.06 is: 474,028.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,275.94 : 214,736.06 = 214,736.06 : x
  2. Step 2: Convert to fraction form
    97,275.94/214,736.06 = 214,736.06/x
  3. Step 3: Cross multiply
    97,275.94x = 214,736.06 × 214,736.06
  4. Step 4: Simplify right side
    97,275.94x = 46,111,576,538.00
  5. Step 5: Solve for x
    x = 46,111,576,538.00/97,275.94
  6. Step 6: Final answer
    x = 474,028.60

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.