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Finding the Third Proportional to 193,837,004.44 and 414,920,809.13

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Solution

The third proportional to 193,837,004.44 and 414,920,809.13 is: 888,165,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,837,004.44 : 414,920,809.13 = 414,920,809.13 : x
  2. Step 2: Convert to fraction form
    193,837,004.44/414,920,809.13 = 414,920,809.13/x
  3. Step 3: Cross multiply
    193,837,004.44x = 414,920,809.13 × 414,920,809.13
  4. Step 4: Simplify right side
    193,837,004.44x = 172,159,277,844,944,672
  5. Step 5: Solve for x
    x = 172,159,277,844,944,672/193,837,004.44
  6. Step 6: Final answer
    x = 888,165,179.53

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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.