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Finding the Third Proportional to 197,557,906 and 439,286,638.50

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Solution

The third proportional to 197,557,906 and 439,286,638.50 is: 976,790,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,557,906 : 439,286,638.50 = 439,286,638.50 : x
  2. Step 2: Convert to fraction form
    197,557,906/439,286,638.50 = 439,286,638.50/x
  3. Step 3: Cross multiply
    197,557,906x = 439,286,638.50 × 439,286,638.50
  4. Step 4: Simplify right side
    197,557,906x = 192,972,750,764,629,696
  5. Step 5: Solve for x
    x = 192,972,750,764,629,696/197,557,906
  6. Step 6: Final answer
    x = 976,790,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.