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Finding the Third Proportional to 68,199,756 and 146,127,288

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Solution

The third proportional to 68,199,756 and 146,127,288 is: 313,097,664.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,199,756 : 146,127,288 = 146,127,288 : x
  2. Step 2: Convert to fraction form
    68,199,756/146,127,288 = 146,127,288/x
  3. Step 3: Cross multiply
    68,199,756x = 146,127,288 × 146,127,288
  4. Step 4: Simplify right side
    68,199,756x = 21,353,184,298,234,944
  5. Step 5: Solve for x
    x = 21,353,184,298,234,944/68,199,756
  6. Step 6: Final answer
    x = 313,097,664.14

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.