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Finding the Third Proportional to 82,274,108 and 170,925,465

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Solution

The third proportional to 82,274,108 and 170,925,465 is: 355,099,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274,108 : 170,925,465 = 170,925,465 : x
  2. Step 2: Convert to fraction form
    82,274,108/170,925,465 = 170,925,465/x
  3. Step 3: Cross multiply
    82,274,108x = 170,925,465 × 170,925,465
  4. Step 4: Simplify right side
    82,274,108x = 29,215,514,585,466,224
  5. Step 5: Solve for x
    x = 29,215,514,585,466,224/82,274,108
  6. Step 6: Final answer
    x = 355,099,742.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.