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Finding the Third Proportional to 83,083,709 and 180,796,808

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Solution

The third proportional to 83,083,709 and 180,796,808 is: 393,428,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,083,709 : 180,796,808 = 180,796,808 : x
  2. Step 2: Convert to fraction form
    83,083,709/180,796,808 = 180,796,808/x
  3. Step 3: Cross multiply
    83,083,709x = 180,796,808 × 180,796,808
  4. Step 4: Simplify right side
    83,083,709x = 32,687,485,782,988,864
  5. Step 5: Solve for x
    x = 32,687,485,782,988,864/83,083,709
  6. Step 6: Final answer
    x = 393,428,340.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.