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Finding the Third Proportional to 49,423,149.25 and 102,936,967.25

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Solution

The third proportional to 49,423,149.25 and 102,936,967.25 is: 214,393,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,149.25 : 102,936,967.25 = 102,936,967.25 : x
  2. Step 2: Convert to fraction form
    49,423,149.25/102,936,967.25 = 102,936,967.25/x
  3. Step 3: Cross multiply
    49,423,149.25x = 102,936,967.25 × 102,936,967.25
  4. Step 4: Simplify right side
    49,423,149.25x = 10,596,019,226,627,572
  5. Step 5: Solve for x
    x = 10,596,019,226,627,572/49,423,149.25
  6. Step 6: Final answer
    x = 214,393,849.59

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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.