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Finding the Third Proportional to 69,147,363,204 and 154,193,946,445.50

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Solution

The third proportional to 69,147,363,204 and 154,193,946,445.50 is: 343,842,078,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,147,363,204 : 154,193,946,445.50 = 154,193,946,445.50 : x
  2. Step 2: Convert to fraction form
    69,147,363,204/154,193,946,445.50 = 154,193,946,445.50/x
  3. Step 3: Cross multiply
    69,147,363,204x = 154,193,946,445.50 × 154,193,946,445.50
  4. Step 4: Simplify right side
    69,147,363,204x = 23,775,773,120,437,724,119,040
  5. Step 5: Solve for x
    x = 23,775,773,120,437,724,119,040/69,147,363,204
  6. Step 6: Final answer
    x = 343,842,078,985.63

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.