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Finding the Third Proportional to 71,204,484 and 146,183,730

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Solution

The third proportional to 71,204,484 and 146,183,730 is: 300,117,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204,484 : 146,183,730 = 146,183,730 : x
  2. Step 2: Convert to fraction form
    71,204,484/146,183,730 = 146,183,730/x
  3. Step 3: Cross multiply
    71,204,484x = 146,183,730 × 146,183,730
  4. Step 4: Simplify right side
    71,204,484x = 21,369,682,916,712,900
  5. Step 5: Solve for x
    x = 21,369,682,916,712,900/71,204,484
  6. Step 6: Final answer
    x = 300,117,095.39

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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.