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Finding the Third Proportional to 200,043 and 436,033.13

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Solution

The third proportional to 200,043 and 436,033.13 is: 950,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043 : 436,033.13 = 436,033.13 : x
  2. Step 2: Convert to fraction form
    200,043/436,033.13 = 436,033.13/x
  3. Step 3: Cross multiply
    200,043x = 436,033.13 × 436,033.13
  4. Step 4: Simplify right side
    200,043x = 190,124,886,097.27
  5. Step 5: Solve for x
    x = 190,124,886,097.27/200,043
  6. Step 6: Final answer
    x = 950,420.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.