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Finding the Third Proportional to 197,775,888 and 290,948,110

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Solution

The third proportional to 197,775,888 and 290,948,110 is: 428,013,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,775,888 : 290,948,110 = 290,948,110 : x
  2. Step 2: Convert to fraction form
    197,775,888/290,948,110 = 290,948,110/x
  3. Step 3: Cross multiply
    197,775,888x = 290,948,110 × 290,948,110
  4. Step 4: Simplify right side
    197,775,888x = 84,650,802,712,572,096
  5. Step 5: Solve for x
    x = 84,650,802,712,572,096/197,775,888
  6. Step 6: Final answer
    x = 428,013,766.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.