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Finding the Third Proportional to 199,893.94 and 437,155.03

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Solution

The third proportional to 199,893.94 and 437,155.03 is: 956,029.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,893.94 : 437,155.03 = 437,155.03 : x
  2. Step 2: Convert to fraction form
    199,893.94/437,155.03 = 437,155.03/x
  3. Step 3: Cross multiply
    199,893.94x = 437,155.03 × 437,155.03
  4. Step 4: Simplify right side
    199,893.94x = 191,104,521,347.19
  5. Step 5: Solve for x
    x = 191,104,521,347.19/199,893.94
  6. Step 6: Final answer
    x = 956,029.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.