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Finding the Third Proportional to 76,485,358.69 and 163,874,233.69

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Solution

The third proportional to 76,485,358.69 and 163,874,233.69 is: 351,109,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,485,358.69 : 163,874,233.69 = 163,874,233.69 : x
  2. Step 2: Convert to fraction form
    76,485,358.69/163,874,233.69 = 163,874,233.69/x
  3. Step 3: Cross multiply
    76,485,358.69x = 163,874,233.69 × 163,874,233.69
  4. Step 4: Simplify right side
    76,485,358.69x = 26,854,764,466,665,360
  5. Step 5: Solve for x
    x = 26,854,764,466,665,360/76,485,358.69
  6. Step 6: Final answer
    x = 351,109,871.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.