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Finding the Third Proportional to 151,733,604 and 216,824,086

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Solution

The third proportional to 151,733,604 and 216,824,086 is: 309,836,997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,733,604 : 216,824,086 = 216,824,086 : x
  2. Step 2: Convert to fraction form
    151,733,604/216,824,086 = 216,824,086/x
  3. Step 3: Cross multiply
    151,733,604x = 216,824,086 × 216,824,086
  4. Step 4: Simplify right side
    151,733,604x = 47,012,684,269,735,392
  5. Step 5: Solve for x
    x = 47,012,684,269,735,392/151,733,604
  6. Step 6: Final answer
    x = 309,836,997.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.