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Finding the Third Proportional to 142,199,991 and 212,368,162.50

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Solution

The third proportional to 142,199,991 and 212,368,162.50 is: 317,160,613.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,199,991 : 212,368,162.50 = 212,368,162.50 : x
  2. Step 2: Convert to fraction form
    142,199,991/212,368,162.50 = 212,368,162.50/x
  3. Step 3: Cross multiply
    142,199,991x = 212,368,162.50 × 212,368,162.50
  4. Step 4: Simplify right side
    142,199,991x = 45,100,236,443,626,408
  5. Step 5: Solve for x
    x = 45,100,236,443,626,408/142,199,991
  6. Step 6: Final answer
    x = 317,160,613.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.