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Finding the Third Proportional to 194,475,352,216.50 and 421,414,550,577

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Solution

The third proportional to 194,475,352,216.50 and 421,414,550,577 is: 913,175,995,898.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,475,352,216.50 : 421,414,550,577 = 421,414,550,577 : x
  2. Step 2: Convert to fraction form
    194,475,352,216.50/421,414,550,577 = 421,414,550,577/x
  3. Step 3: Cross multiply
    194,475,352,216.50x = 421,414,550,577 × 421,414,550,577
  4. Step 4: Simplify right side
    194,475,352,216.50x = 177,590,223,438,014,891,163,648
  5. Step 5: Solve for x
    x = 177,590,223,438,014,891,163,648/194,475,352,216.50
  6. Step 6: Final answer
    x = 913,175,995,898.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.