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Finding the Third Proportional to 47,896,996.36 and 104,861,694.66

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Solution

The third proportional to 47,896,996.36 and 104,861,694.66 is: 229,575,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896,996.36 : 104,861,694.66 = 104,861,694.66 : x
  2. Step 2: Convert to fraction form
    47,896,996.36/104,861,694.66 = 104,861,694.66/x
  3. Step 3: Cross multiply
    47,896,996.36x = 104,861,694.66 × 104,861,694.66
  4. Step 4: Simplify right side
    47,896,996.36x = 10,995,975,006,180,610
  5. Step 5: Solve for x
    x = 10,995,975,006,180,610/47,896,996.36
  6. Step 6: Final answer
    x = 229,575,460.72

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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.