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Finding the Third Proportional to 48,757,782.50 and 101,551,217.50

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Solution

The third proportional to 48,757,782.50 and 101,551,217.50 is: 211,507,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,757,782.50 : 101,551,217.50 = 101,551,217.50 : x
  2. Step 2: Convert to fraction form
    48,757,782.50/101,551,217.50 = 101,551,217.50/x
  3. Step 3: Cross multiply
    48,757,782.50x = 101,551,217.50 × 101,551,217.50
  4. Step 4: Simplify right side
    48,757,782.50x = 10,312,649,775,732,306
  5. Step 5: Solve for x
    x = 10,312,649,775,732,306/48,757,782.50
  6. Step 6: Final answer
    x = 211,507,768.54

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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.