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Finding the Third Proportional to 57,287,922 and 117,223,206

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Solution

The third proportional to 57,287,922 and 117,223,206 is: 239,863,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,287,922 : 117,223,206 = 117,223,206 : x
  2. Step 2: Convert to fraction form
    57,287,922/117,223,206 = 117,223,206/x
  3. Step 3: Cross multiply
    57,287,922x = 117,223,206 × 117,223,206
  4. Step 4: Simplify right side
    57,287,922x = 13,741,280,024,918,436
  5. Step 5: Solve for x
    x = 13,741,280,024,918,436/57,287,922
  6. Step 6: Final answer
    x = 239,863,474.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.