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Finding the Third Proportional to 308,178,514 and 659,992,412

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Solution

The third proportional to 308,178,514 and 659,992,412 is: 1,413,433,980.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,178,514 : 659,992,412 = 659,992,412 : x
  2. Step 2: Convert to fraction form
    308,178,514/659,992,412 = 659,992,412/x
  3. Step 3: Cross multiply
    308,178,514x = 659,992,412 × 659,992,412
  4. Step 4: Simplify right side
    308,178,514x = 435,589,983,897,577,728
  5. Step 5: Solve for x
    x = 435,589,983,897,577,728/308,178,514
  6. Step 6: Final answer
    x = 1,413,433,980.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.