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Finding the Third Proportional to 261,892,647 and 364,140,792

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Solution

The third proportional to 261,892,647 and 364,140,792 is: 506,308,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,647 : 364,140,792 = 364,140,792 : x
  2. Step 2: Convert to fraction form
    261,892,647/364,140,792 = 364,140,792/x
  3. Step 3: Cross multiply
    261,892,647x = 364,140,792 × 364,140,792
  4. Step 4: Simplify right side
    261,892,647x = 132,598,516,398,387,264
  5. Step 5: Solve for x
    x = 132,598,516,398,387,264/261,892,647
  6. Step 6: Final answer
    x = 506,308,664.70

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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.