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Finding the Third Proportional to 49,423,005.75 and 102,936,722.25

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Solution

The third proportional to 49,423,005.75 and 102,936,722.25 is: 214,393,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,005.75 : 102,936,722.25 = 102,936,722.25 : x
  2. Step 2: Convert to fraction form
    49,423,005.75/102,936,722.25 = 102,936,722.25/x
  3. Step 3: Cross multiply
    49,423,005.75x = 102,936,722.25 × 102,936,722.25
  4. Step 4: Simplify right side
    49,423,005.75x = 10,595,968,787,573,646
  5. Step 5: Solve for x
    x = 10,595,968,787,573,646/49,423,005.75
  6. Step 6: Final answer
    x = 214,393,451.53

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.