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Finding the Third Proportional to 174,595,099.50 and 242,760,523.50

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Solution

The third proportional to 174,595,099.50 and 242,760,523.50 is: 337,539,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,595,099.50 : 242,760,523.50 = 242,760,523.50 : x
  2. Step 2: Convert to fraction form
    174,595,099.50/242,760,523.50 = 242,760,523.50/x
  3. Step 3: Cross multiply
    174,595,099.50x = 242,760,523.50 × 242,760,523.50
  4. Step 4: Simplify right side
    174,595,099.50x = 58,932,671,769,994,056
  5. Step 5: Solve for x
    x = 58,932,671,769,994,056/174,595,099.50
  6. Step 6: Final answer
    x = 337,539,094.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.