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Finding the Third Proportional to 109,427.63 and 238,028.63

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Solution

The third proportional to 109,427.63 and 238,028.63 is: 517,763.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,427.63 : 238,028.63 = 238,028.63 : x
  2. Step 2: Convert to fraction form
    109,427.63/238,028.63 = 238,028.63/x
  3. Step 3: Cross multiply
    109,427.63x = 238,028.63 × 238,028.63
  4. Step 4: Simplify right side
    109,427.63x = 56,657,626,319.39
  5. Step 5: Solve for x
    x = 56,657,626,319.39/109,427.63
  6. Step 6: Final answer
    x = 517,763.47

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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.