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Finding the Third Proportional to 47,718,219 and 102,969,264

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Solution

The third proportional to 47,718,219 and 102,969,264 is: 222,193,316.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,718,219 : 102,969,264 = 102,969,264 : x
  2. Step 2: Convert to fraction form
    47,718,219/102,969,264 = 102,969,264/x
  3. Step 3: Cross multiply
    47,718,219x = 102,969,264 × 102,969,264
  4. Step 4: Simplify right side
    47,718,219x = 10,602,669,328,701,696
  5. Step 5: Solve for x
    x = 10,602,669,328,701,696/47,718,219
  6. Step 6: Final answer
    x = 222,193,316.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.