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Finding the Third Proportional to 212,795,144 and 458,416,998

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Solution

The third proportional to 212,795,144 and 458,416,998 is: 987,551,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,795,144 : 458,416,998 = 458,416,998 : x
  2. Step 2: Convert to fraction form
    212,795,144/458,416,998 = 458,416,998/x
  3. Step 3: Cross multiply
    212,795,144x = 458,416,998 × 458,416,998
  4. Step 4: Simplify right side
    212,795,144x = 210,146,144,055,332,000
  5. Step 5: Solve for x
    x = 210,146,144,055,332,000/212,795,144
  6. Step 6: Final answer
    x = 987,551,407.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.