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Finding the Third Proportional to 82,976,541.75 and 119,876,452.88

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Solution

The third proportional to 82,976,541.75 and 119,876,452.88 is: 173,185,862.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976,541.75 : 119,876,452.88 = 119,876,452.88 : x
  2. Step 2: Convert to fraction form
    82,976,541.75/119,876,452.88 = 119,876,452.88/x
  3. Step 3: Cross multiply
    82,976,541.75x = 119,876,452.88 × 119,876,452.88
  4. Step 4: Simplify right side
    82,976,541.75x = 14,370,363,953,892,096
  5. Step 5: Solve for x
    x = 14,370,363,953,892,096/82,976,541.75
  6. Step 6: Final answer
    x = 173,185,862.54

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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.