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Finding the Third Proportional to 261,892,692 and 364,140,860

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Solution

The third proportional to 261,892,692 and 364,140,860 is: 506,308,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,692 : 364,140,860 = 364,140,860 : x
  2. Step 2: Convert to fraction form
    261,892,692/364,140,860 = 364,140,860/x
  3. Step 3: Cross multiply
    261,892,692x = 364,140,860 × 364,140,860
  4. Step 4: Simplify right side
    261,892,692x = 132,598,565,921,539,600
  5. Step 5: Solve for x
    x = 132,598,565,921,539,600/261,892,692
  6. Step 6: Final answer
    x = 506,308,766.80

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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.