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Finding the Third Proportional to 101,784.38 and 215,051.63

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Solution

The third proportional to 101,784.38 and 215,051.63 is: 454,364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,784.38 : 215,051.63 = 215,051.63 : x
  2. Step 2: Convert to fraction form
    101,784.38/215,051.63 = 215,051.63/x
  3. Step 3: Cross multiply
    101,784.38x = 215,051.63 × 215,051.63
  4. Step 4: Simplify right side
    101,784.38x = 46,247,201,415.14
  5. Step 5: Solve for x
    x = 46,247,201,415.14/101,784.38
  6. Step 6: Final answer
    x = 454,364.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.