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Finding the Third Proportional to 48,684,861 and 102,802,203

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Solution

The third proportional to 48,684,861 and 102,802,203 is: 217,075,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,684,861 : 102,802,203 = 102,802,203 : x
  2. Step 2: Convert to fraction form
    48,684,861/102,802,203 = 102,802,203/x
  3. Step 3: Cross multiply
    48,684,861x = 102,802,203 × 102,802,203
  4. Step 4: Simplify right side
    48,684,861x = 10,568,292,941,653,208
  5. Step 5: Solve for x
    x = 10,568,292,941,653,208/48,684,861
  6. Step 6: Final answer
    x = 217,075,549.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.