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Finding the Third Proportional to 81,211,700 and 175,367,132

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Solution

The third proportional to 81,211,700 and 175,367,132 is: 378,684,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211,700 : 175,367,132 = 175,367,132 : x
  2. Step 2: Convert to fraction form
    81,211,700/175,367,132 = 175,367,132/x
  3. Step 3: Cross multiply
    81,211,700x = 175,367,132 × 175,367,132
  4. Step 4: Simplify right side
    81,211,700x = 30,753,630,985,905,424
  5. Step 5: Solve for x
    x = 30,753,630,985,905,424/81,211,700
  6. Step 6: Final answer
    x = 378,684,733.68

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.