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Finding the Third Proportional to 102,018,992 and 218,592,333

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Solution

The third proportional to 102,018,992 and 218,592,333 is: 468,369,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,018,992 : 218,592,333 = 218,592,333 : x
  2. Step 2: Convert to fraction form
    102,018,992/218,592,333 = 218,592,333/x
  3. Step 3: Cross multiply
    102,018,992x = 218,592,333 × 218,592,333
  4. Step 4: Simplify right side
    102,018,992x = 47,782,608,046,382,888
  5. Step 5: Solve for x
    x = 47,782,608,046,382,888/102,018,992
  6. Step 6: Final answer
    x = 468,369,733.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.