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Finding the Third Proportional to 70,670,819.25 and 106,081,022.25

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Solution

The third proportional to 70,670,819.25 and 106,081,022.25 is: 159,233,802.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,670,819.25 : 106,081,022.25 = 106,081,022.25 : x
  2. Step 2: Convert to fraction form
    70,670,819.25/106,081,022.25 = 106,081,022.25/x
  3. Step 3: Cross multiply
    70,670,819.25x = 106,081,022.25 × 106,081,022.25
  4. Step 4: Simplify right side
    70,670,819.25x = 11,253,183,281,604,996
  5. Step 5: Solve for x
    x = 11,253,183,281,604,996/70,670,819.25
  6. Step 6: Final answer
    x = 159,233,802.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.