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Finding the Third Proportional to 47,896,981.50 and 104,861,669.75

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Solution

The third proportional to 47,896,981.50 and 104,861,669.75 is: 229,575,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896,981.50 : 104,861,669.75 = 104,861,669.75 : x
  2. Step 2: Convert to fraction form
    47,896,981.50/104,861,669.75 = 104,861,669.75/x
  3. Step 3: Cross multiply
    47,896,981.50x = 104,861,669.75 × 104,861,669.75
  4. Step 4: Simplify right side
    47,896,981.50x = 10,995,969,782,758,066
  5. Step 5: Solve for x
    x = 10,995,969,782,758,066/47,896,981.50
  6. Step 6: Final answer
    x = 229,575,422.88

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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.