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Finding the Third Proportional to 77,670,166 and 167,445,296

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Solution

The third proportional to 77,670,166 and 167,445,296 is: 360,987,089.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,670,166 : 167,445,296 = 167,445,296 : x
  2. Step 2: Convert to fraction form
    77,670,166/167,445,296 = 167,445,296/x
  3. Step 3: Cross multiply
    77,670,166x = 167,445,296 × 167,445,296
  4. Step 4: Simplify right side
    77,670,166x = 28,037,927,152,527,616
  5. Step 5: Solve for x
    x = 28,037,927,152,527,616/77,670,166
  6. Step 6: Final answer
    x = 360,987,089.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.