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Finding the Third Proportional to 97,032.94 and 208,828.13

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Solution

The third proportional to 97,032.94 and 208,828.13 is: 449,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,032.94 : 208,828.13 = 208,828.13 : x
  2. Step 2: Convert to fraction form
    97,032.94/208,828.13 = 208,828.13/x
  3. Step 3: Cross multiply
    97,032.94x = 208,828.13 × 208,828.13
  4. Step 4: Simplify right side
    97,032.94x = 43,609,185,791.02
  5. Step 5: Solve for x
    x = 43,609,185,791.02/97,032.94
  6. Step 6: Final answer
    x = 449,426.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.