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Finding the Third Proportional to 261,892,670 and 364,140,824

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Solution

The third proportional to 261,892,670 and 364,140,824 is: 506,308,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,670 : 364,140,824 = 364,140,824 : x
  2. Step 2: Convert to fraction form
    261,892,670/364,140,824 = 364,140,824/x
  3. Step 3: Cross multiply
    261,892,670x = 364,140,824 × 364,140,824
  4. Step 4: Simplify right side
    261,892,670x = 132,598,539,703,398,976
  5. Step 5: Solve for x
    x = 132,598,539,703,398,976/261,892,670
  6. Step 6: Final answer
    x = 506,308,709.23

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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.