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Finding the Third Proportional to 226,366,594 and 485,003,484

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Solution

The third proportional to 226,366,594 and 485,003,484 is: 1,039,147,938.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,366,594 : 485,003,484 = 485,003,484 : x
  2. Step 2: Convert to fraction form
    226,366,594/485,003,484 = 485,003,484/x
  3. Step 3: Cross multiply
    226,366,594x = 485,003,484 × 485,003,484
  4. Step 4: Simplify right side
    226,366,594x = 235,228,379,492,138,240
  5. Step 5: Solve for x
    x = 235,228,379,492,138,240/226,366,594
  6. Step 6: Final answer
    x = 1,039,147,938.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.