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Finding the Third Proportional to 119,800,998 and 171,198,400.50

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Solution

The third proportional to 119,800,998 and 171,198,400.50 is: 244,646,478.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,998 : 171,198,400.50 = 171,198,400.50 : x
  2. Step 2: Convert to fraction form
    119,800,998/171,198,400.50 = 171,198,400.50/x
  3. Step 3: Cross multiply
    119,800,998x = 171,198,400.50 × 171,198,400.50
  4. Step 4: Simplify right side
    119,800,998x = 29,308,892,333,758,400
  5. Step 5: Solve for x
    x = 29,308,892,333,758,400/119,800,998
  6. Step 6: Final answer
    x = 244,646,478.94

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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.