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Finding the Third Proportional to 191,684,236.50 and 274,110,567.50

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Solution

The third proportional to 191,684,236.50 and 274,110,567.50 is: 391,981,127.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,684,236.50 : 274,110,567.50 = 274,110,567.50 : x
  2. Step 2: Convert to fraction form
    191,684,236.50/274,110,567.50 = 274,110,567.50/x
  3. Step 3: Cross multiply
    191,684,236.50x = 274,110,567.50 × 274,110,567.50
  4. Step 4: Simplify right side
    191,684,236.50x = 75,136,603,215,172,064
  5. Step 5: Solve for x
    x = 75,136,603,215,172,064/191,684,236.50
  6. Step 6: Final answer
    x = 391,981,127.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.