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Finding the Third Proportional to 227,519,442 and 343,670,212.13

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Solution

The third proportional to 227,519,442 and 343,670,212.13 is: 519,117,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519,442 : 343,670,212.13 = 343,670,212.13 : x
  2. Step 2: Convert to fraction form
    227,519,442/343,670,212.13 = 343,670,212.13/x
  3. Step 3: Cross multiply
    227,519,442x = 343,670,212.13 × 343,670,212.13
  4. Step 4: Simplify right side
    227,519,442x = 118,109,214,702,042,496
  5. Step 5: Solve for x
    x = 118,109,214,702,042,496/227,519,442
  6. Step 6: Final answer
    x = 519,117,019.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.