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Finding the Third Proportional to 102,765,642 and 239,794,778.50

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Solution

The third proportional to 102,765,642 and 239,794,778.50 is: 559,540,471.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,765,642 : 239,794,778.50 = 239,794,778.50 : x
  2. Step 2: Convert to fraction form
    102,765,642/239,794,778.50 = 239,794,778.50/x
  3. Step 3: Cross multiply
    102,765,642x = 239,794,778.50 × 239,794,778.50
  4. Step 4: Simplify right side
    102,765,642x = 57,501,535,795,864,064
  5. Step 5: Solve for x
    x = 57,501,535,795,864,064/102,765,642
  6. Step 6: Final answer
    x = 559,540,471.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.