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Finding the Third Proportional to 261,892,686 and 364,140,843

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Solution

The third proportional to 261,892,686 and 364,140,843 is: 506,308,731.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,686 : 364,140,843 = 364,140,843 : x
  2. Step 2: Convert to fraction form
    261,892,686/364,140,843 = 364,140,843/x
  3. Step 3: Cross multiply
    261,892,686x = 364,140,843 × 364,140,843
  4. Step 4: Simplify right side
    261,892,686x = 132,598,553,540,750,656
  5. Step 5: Solve for x
    x = 132,598,553,540,750,656/261,892,686
  6. Step 6: Final answer
    x = 506,308,731.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.