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Finding the Third Proportional to 142,964,104 and 312,146,086

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Solution

The third proportional to 142,964,104 and 312,146,086 is: 681,535,967.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,964,104 : 312,146,086 = 312,146,086 : x
  2. Step 2: Convert to fraction form
    142,964,104/312,146,086 = 312,146,086/x
  3. Step 3: Cross multiply
    142,964,104x = 312,146,086 × 312,146,086
  4. Step 4: Simplify right side
    142,964,104x = 97,435,179,005,119,392
  5. Step 5: Solve for x
    x = 97,435,179,005,119,392/142,964,104
  6. Step 6: Final answer
    x = 681,535,967.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.