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Finding the Third Proportional to 76,803,200 and 108,033,216

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Solution

The third proportional to 76,803,200 and 108,033,216 is: 151,962,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,803,200 : 108,033,216 = 108,033,216 : x
  2. Step 2: Convert to fraction form
    76,803,200/108,033,216 = 108,033,216/x
  3. Step 3: Cross multiply
    76,803,200x = 108,033,216 × 108,033,216
  4. Step 4: Simplify right side
    76,803,200x = 11,671,175,759,302,656
  5. Step 5: Solve for x
    x = 11,671,175,759,302,656/76,803,200
  6. Step 6: Final answer
    x = 151,962,102.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.