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Finding the Third Proportional to 113,778 and 163,886.63

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Solution

The third proportional to 113,778 and 163,886.63 is: 236,063.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,778 : 163,886.63 = 163,886.63 : x
  2. Step 2: Convert to fraction form
    113,778/163,886.63 = 163,886.63/x
  3. Step 3: Cross multiply
    113,778x = 163,886.63 × 163,886.63
  4. Step 4: Simplify right side
    113,778x = 26,858,825,853.89
  5. Step 5: Solve for x
    x = 26,858,825,853.89/113,778
  6. Step 6: Final answer
    x = 236,063.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.