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Finding the Third Proportional to 49,423,000.50 and 102,936,713.44

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Solution

The third proportional to 49,423,000.50 and 102,936,713.44 is: 214,393,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,423,000.50 : 102,936,713.44 = 102,936,713.44 : x
  2. Step 2: Convert to fraction form
    49,423,000.50/102,936,713.44 = 102,936,713.44/x
  3. Step 3: Cross multiply
    49,423,000.50x = 102,936,713.44 × 102,936,713.44
  4. Step 4: Simplify right side
    49,423,000.50x = 10,595,966,973,313,994
  5. Step 5: Solve for x
    x = 10,595,966,973,313,994/49,423,000.50
  6. Step 6: Final answer
    x = 214,393,437.59

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Why These Related Problems?

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