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Finding the Third Proportional to 47,896,999.10 and 104,861,704.57

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Solution

The third proportional to 47,896,999.10 and 104,861,704.57 is: 229,575,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,896,999.10 : 104,861,704.57 = 104,861,704.57 : x
  2. Step 2: Convert to fraction form
    47,896,999.10/104,861,704.57 = 104,861,704.57/x
  3. Step 3: Cross multiply
    47,896,999.10x = 104,861,704.57 × 104,861,704.57
  4. Step 4: Simplify right side
    47,896,999.10x = 10,995,977,085,390,972
  5. Step 5: Solve for x
    x = 10,995,977,085,390,972/47,896,999.10
  6. Step 6: Final answer
    x = 229,575,490.98

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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.