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Finding the Third Proportional to 47,269,984 and 102,822,138

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Solution

The third proportional to 47,269,984 and 102,822,138 is: 223,659,734.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269,984 : 102,822,138 = 102,822,138 : x
  2. Step 2: Convert to fraction form
    47,269,984/102,822,138 = 102,822,138/x
  3. Step 3: Cross multiply
    47,269,984x = 102,822,138 × 102,822,138
  4. Step 4: Simplify right side
    47,269,984x = 10,572,392,062,891,044
  5. Step 5: Solve for x
    x = 10,572,392,062,891,044/47,269,984
  6. Step 6: Final answer
    x = 223,659,734.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.