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Finding the Third Proportional to 196,776,024 and 455,546,112

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Solution

The third proportional to 196,776,024 and 455,546,112 is: 1,054,611,511.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776,024 : 455,546,112 = 455,546,112 : x
  2. Step 2: Convert to fraction form
    196,776,024/455,546,112 = 455,546,112/x
  3. Step 3: Cross multiply
    196,776,024x = 455,546,112 × 455,546,112
  4. Step 4: Simplify right side
    196,776,024x = 207,522,260,158,316,544
  5. Step 5: Solve for x
    x = 207,522,260,158,316,544/196,776,024
  6. Step 6: Final answer
    x = 1,054,611,511.81

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.