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Finding the Third Proportional to 83,885.63 and 163,518.75

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Solution

The third proportional to 83,885.63 and 163,518.75 is: 318,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,885.63 : 163,518.75 = 163,518.75 : x
  2. Step 2: Convert to fraction form
    83,885.63/163,518.75 = 163,518.75/x
  3. Step 3: Cross multiply
    83,885.63x = 163,518.75 × 163,518.75
  4. Step 4: Simplify right side
    83,885.63x = 26,738,381,601.56
  5. Step 5: Solve for x
    x = 26,738,381,601.56/83,885.63
  6. Step 6: Final answer
    x = 318,748.08

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.