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Finding the Third Proportional to 197,201,703 and 307,740,777

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Solution

The third proportional to 197,201,703 and 307,740,777 is: 480,241,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,201,703 : 307,740,777 = 307,740,777 : x
  2. Step 2: Convert to fraction form
    197,201,703/307,740,777 = 307,740,777/x
  3. Step 3: Cross multiply
    197,201,703x = 307,740,777 × 307,740,777
  4. Step 4: Simplify right side
    197,201,703x = 94,704,385,828,563,728
  5. Step 5: Solve for x
    x = 94,704,385,828,563,728/197,201,703
  6. Step 6: Final answer
    x = 480,241,216.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.