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Finding the Third Proportional to 70,003,071 and 100,835,023.50

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Solution

The third proportional to 70,003,071 and 100,835,023.50 is: 145,246,513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,003,071 : 100,835,023.50 = 100,835,023.50 : x
  2. Step 2: Convert to fraction form
    70,003,071/100,835,023.50 = 100,835,023.50/x
  3. Step 3: Cross multiply
    70,003,071x = 100,835,023.50 × 100,835,023.50
  4. Step 4: Simplify right side
    70,003,071x = 10,167,701,964,245,552
  5. Step 5: Solve for x
    x = 10,167,701,964,245,552/70,003,071
  6. Step 6: Final answer
    x = 145,246,513.03

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.