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Finding the Third Proportional to 153,199,845 and 327,698,844

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Solution

The third proportional to 153,199,845 and 327,698,844 is: 700,957,186.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,199,845 : 327,698,844 = 327,698,844 : x
  2. Step 2: Convert to fraction form
    153,199,845/327,698,844 = 327,698,844/x
  3. Step 3: Cross multiply
    153,199,845x = 327,698,844 × 327,698,844
  4. Step 4: Simplify right side
    153,199,845x = 107,386,532,358,936,336
  5. Step 5: Solve for x
    x = 107,386,532,358,936,336/153,199,845
  6. Step 6: Final answer
    x = 700,957,186.73

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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.