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Finding the Third Proportional to 170,892,696 and 264,783,024

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Solution

The third proportional to 170,892,696 and 264,783,024 is: 410,257,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,892,696 : 264,783,024 = 264,783,024 : x
  2. Step 2: Convert to fraction form
    170,892,696/264,783,024 = 264,783,024/x
  3. Step 3: Cross multiply
    170,892,696x = 264,783,024 × 264,783,024
  4. Step 4: Simplify right side
    170,892,696x = 70,110,049,798,584,576
  5. Step 5: Solve for x
    x = 70,110,049,798,584,576/170,892,696
  6. Step 6: Final answer
    x = 410,257,731.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.