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Finding the Third Proportional to 103,673,563.88 and 222,732,568.13

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Solution

The third proportional to 103,673,563.88 and 222,732,568.13 is: 478,519,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,563.88 : 222,732,568.13 = 222,732,568.13 : x
  2. Step 2: Convert to fraction form
    103,673,563.88/222,732,568.13 = 222,732,568.13/x
  3. Step 3: Cross multiply
    103,673,563.88x = 222,732,568.13 × 222,732,568.13
  4. Step 4: Simplify right side
    103,673,563.88x = 49,609,796,903,557,768
  5. Step 5: Solve for x
    x = 49,609,796,903,557,768/103,673,563.88
  6. Step 6: Final answer
    x = 478,519,258.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.