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Finding the Third Proportional to 49,858,242.50 and 76,588,365

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Solution

The third proportional to 49,858,242.50 and 76,588,365 is: 117,649,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,858,242.50 : 76,588,365 = 76,588,365 : x
  2. Step 2: Convert to fraction form
    49,858,242.50/76,588,365 = 76,588,365/x
  3. Step 3: Cross multiply
    49,858,242.50x = 76,588,365 × 76,588,365
  4. Step 4: Simplify right side
    49,858,242.50x = 5,865,777,653,373,225
  5. Step 5: Solve for x
    x = 5,865,777,653,373,225/49,858,242.50
  6. Step 6: Final answer
    x = 117,649,105.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.