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Finding the Third Proportional to 138,862,345,344 and 301,397,198,592

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Solution

The third proportional to 138,862,345,344 and 301,397,198,592 is: 654,174,975,181.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862,345,344 : 301,397,198,592 = 301,397,198,592 : x
  2. Step 2: Convert to fraction form
    138,862,345,344/301,397,198,592 = 301,397,198,592/x
  3. Step 3: Cross multiply
    138,862,345,344x = 301,397,198,592 × 301,397,198,592
  4. Step 4: Simplify right side
    138,862,345,344x = 90,840,271,319,105,491,959,808
  5. Step 5: Solve for x
    x = 90,840,271,319,105,491,959,808/138,862,345,344
  6. Step 6: Final answer
    x = 654,174,975,181.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.