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Finding the Third Proportional to 110,396,596,674 and 240,135,819,466.50

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Solution

The third proportional to 110,396,596,674 and 240,135,819,466.50 is: 522,345,919,422.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,396,596,674 : 240,135,819,466.50 = 240,135,819,466.50 : x
  2. Step 2: Convert to fraction form
    110,396,596,674/240,135,819,466.50 = 240,135,819,466.50/x
  3. Step 3: Cross multiply
    110,396,596,674x = 240,135,819,466.50 × 240,135,819,466.50
  4. Step 4: Simplify right side
    110,396,596,674x = 57,665,211,790,847,478,071,296
  5. Step 5: Solve for x
    x = 57,665,211,790,847,478,071,296/110,396,596,674
  6. Step 6: Final answer
    x = 522,345,919,422.97

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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.