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Finding the Third Proportional to 142,266,650.91 and 213,399,962.44

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Solution

The third proportional to 142,266,650.91 and 213,399,962.44 is: 320,099,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,266,650.91 : 213,399,962.44 = 213,399,962.44 : x
  2. Step 2: Convert to fraction form
    142,266,650.91/213,399,962.44 = 213,399,962.44/x
  3. Step 3: Cross multiply
    142,266,650.91x = 213,399,962.44 × 213,399,962.44
  4. Step 4: Simplify right side
    142,266,650.91x = 45,539,543,968,326,408
  5. Step 5: Solve for x
    x = 45,539,543,968,326,408/142,266,650.91
  6. Step 6: Final answer
    x = 320,099,922.77

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