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Finding the Third Proportional to 103,244.63 and 218,897.44

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Solution

The third proportional to 103,244.63 and 218,897.44 is: 464,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,244.63 : 218,897.44 = 218,897.44 : x
  2. Step 2: Convert to fraction form
    103,244.63/218,897.44 = 218,897.44/x
  3. Step 3: Cross multiply
    103,244.63x = 218,897.44 × 218,897.44
  4. Step 4: Simplify right side
    103,244.63x = 47,916,088,144.07
  5. Step 5: Solve for x
    x = 47,916,088,144.07/103,244.63
  6. Step 6: Final answer
    x = 464,102.50

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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.