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Finding the Third Proportional to 103,269.94 and 218,948.06

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Solution

The third proportional to 103,269.94 and 218,948.06 is: 464,203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,269.94 : 218,948.06 = 218,948.06 : x
  2. Step 2: Convert to fraction form
    103,269.94/218,948.06 = 218,948.06/x
  3. Step 3: Cross multiply
    103,269.94x = 218,948.06 × 218,948.06
  4. Step 4: Simplify right side
    103,269.94x = 47,938,254,072.50
  5. Step 5: Solve for x
    x = 47,938,254,072.50/103,269.94
  6. Step 6: Final answer
    x = 464,203.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.