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Finding the Third Proportional to 102,285,091.25 and 224,373,103

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Solution

The third proportional to 102,285,091.25 and 224,373,103 is: 492,185,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,285,091.25 : 224,373,103 = 224,373,103 : x
  2. Step 2: Convert to fraction form
    102,285,091.25/224,373,103 = 224,373,103/x
  3. Step 3: Cross multiply
    102,285,091.25x = 224,373,103 × 224,373,103
  4. Step 4: Simplify right side
    102,285,091.25x = 50,343,289,349,848,608
  5. Step 5: Solve for x
    x = 50,343,289,349,848,608/102,285,091.25
  6. Step 6: Final answer
    x = 492,185,994.41

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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.