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Finding the Third Proportional to 83,116.13 and 162,077.63

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Solution

The third proportional to 83,116.13 and 162,077.63 is: 316,053.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,116.13 : 162,077.63 = 162,077.63 : x
  2. Step 2: Convert to fraction form
    83,116.13/162,077.63 = 162,077.63/x
  3. Step 3: Cross multiply
    83,116.13x = 162,077.63 × 162,077.63
  4. Step 4: Simplify right side
    83,116.13x = 26,269,156,525.64
  5. Step 5: Solve for x
    x = 26,269,156,525.64/83,116.13
  6. Step 6: Final answer
    x = 316,053.67

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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.