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Finding the Third Proportional to 142,266,655 and 213,399,968

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Solution

The third proportional to 142,266,655 and 213,399,968 is: 320,099,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266,655 : 213,399,968 = 213,399,968 : x
  2. Step 2: Convert to fraction form
    142,266,655/213,399,968 = 213,399,968/x
  3. Step 3: Cross multiply
    142,266,655x = 213,399,968 × 213,399,968
  4. Step 4: Simplify right side
    142,266,655x = 45,539,546,342,401,024
  5. Step 5: Solve for x
    x = 45,539,546,342,401,024/142,266,655
  6. Step 6: Final answer
    x = 320,099,930.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.