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Finding the Third Proportional to 71,204,508 and 146,183,776

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Solution

The third proportional to 71,204,508 and 146,183,776 is: 300,117,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,508 : 146,183,776 = 146,183,776 : x
  2. Step 2: Convert to fraction form
    71,204,508/146,183,776 = 146,183,776/x
  3. Step 3: Cross multiply
    71,204,508x = 146,183,776 × 146,183,776
  4. Step 4: Simplify right side
    71,204,508x = 21,369,696,365,618,176
  5. Step 5: Solve for x
    x = 21,369,696,365,618,176/71,204,508
  6. Step 6: Final answer
    x = 300,117,183.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.