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Finding the Third Proportional to 261,892,680 and 364,140,819

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Solution

The third proportional to 261,892,680 and 364,140,819 is: 506,308,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,892,680 : 364,140,819 = 364,140,819 : x
  2. Step 2: Convert to fraction form
    261,892,680/364,140,819 = 364,140,819/x
  3. Step 3: Cross multiply
    261,892,680x = 364,140,819 × 364,140,819
  4. Step 4: Simplify right side
    261,892,680x = 132,598,536,061,990,768
  5. Step 5: Solve for x
    x = 132,598,536,061,990,768/261,892,680
  6. Step 6: Final answer
    x = 506,308,675.99

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.