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Finding the Third Proportional to 261,892,687.50 and 364,140,852.75

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Solution

The third proportional to 261,892,687.50 and 364,140,852.75 is: 506,308,755.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,687.50 : 364,140,852.75 = 364,140,852.75 : x
  2. Step 2: Convert to fraction form
    261,892,687.50/364,140,852.75 = 364,140,852.75/x
  3. Step 3: Cross multiply
    261,892,687.50x = 364,140,852.75 × 364,140,852.75
  4. Step 4: Simplify right side
    261,892,687.50x = 132,598,560,641,497,184
  5. Step 5: Solve for x
    x = 132,598,560,641,497,184/261,892,687.50
  6. Step 6: Final answer
    x = 506,308,755.34

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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.