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Finding the Third Proportional to 181,700,500,777 and 397,596,041,253

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Solution

The third proportional to 181,700,500,777 and 397,596,041,253 is: 870,017,481,207.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,700,500,777 : 397,596,041,253 = 397,596,041,253 : x
  2. Step 2: Convert to fraction form
    181,700,500,777/397,596,041,253 = 397,596,041,253/x
  3. Step 3: Cross multiply
    181,700,500,777x = 397,596,041,253 × 397,596,041,253
  4. Step 4: Simplify right side
    181,700,500,777x = 158,082,612,020,057,273,794,560
  5. Step 5: Solve for x
    x = 158,082,612,020,057,273,794,560/181,700,500,777
  6. Step 6: Final answer
    x = 870,017,481,207.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.