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Finding the Third Proportional to 197,775,902 and 290,948,124

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Solution

The third proportional to 197,775,902 and 290,948,124 is: 428,013,777.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,775,902 : 290,948,124 = 290,948,124 : x
  2. Step 2: Convert to fraction form
    197,775,902/290,948,124 = 290,948,124/x
  3. Step 3: Cross multiply
    197,775,902x = 290,948,124 × 290,948,124
  4. Step 4: Simplify right side
    197,775,902x = 84,650,810,859,119,376
  5. Step 5: Solve for x
    x = 84,650,810,859,119,376/197,775,902
  6. Step 6: Final answer
    x = 428,013,777.23

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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.