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Finding the Third Proportional to 261,892,671 and 364,140,828

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Solution

The third proportional to 261,892,671 and 364,140,828 is: 506,308,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,671 : 364,140,828 = 364,140,828 : x
  2. Step 2: Convert to fraction form
    261,892,671/364,140,828 = 364,140,828/x
  3. Step 3: Cross multiply
    261,892,671x = 364,140,828 × 364,140,828
  4. Step 4: Simplify right side
    261,892,671x = 132,598,542,616,525,584
  5. Step 5: Solve for x
    x = 132,598,542,616,525,584/261,892,671
  6. Step 6: Final answer
    x = 506,308,718.42

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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.