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Finding the Third Proportional to 93,428,514 and 204,452,015

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Solution

The third proportional to 93,428,514 and 204,452,015 is: 447,407,591.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,428,514 : 204,452,015 = 204,452,015 : x
  2. Step 2: Convert to fraction form
    93,428,514/204,452,015 = 204,452,015/x
  3. Step 3: Cross multiply
    93,428,514x = 204,452,015 × 204,452,015
  4. Step 4: Simplify right side
    93,428,514x = 41,800,626,437,560,224
  5. Step 5: Solve for x
    x = 41,800,626,437,560,224/93,428,514
  6. Step 6: Final answer
    x = 447,407,591.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.