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Finding the Third Proportional to 80,303,118,153 and 120,136,290,262.50

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Solution

The third proportional to 80,303,118,153 and 120,136,290,262.50 is: 179,728,117,288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303,118,153 : 120,136,290,262.50 = 120,136,290,262.50 : x
  2. Step 2: Convert to fraction form
    80,303,118,153/120,136,290,262.50 = 120,136,290,262.50/x
  3. Step 3: Cross multiply
    80,303,118,153x = 120,136,290,262.50 × 120,136,290,262.50
  4. Step 4: Simplify right side
    80,303,118,153x = 14,432,728,238,035,652,575,232
  5. Step 5: Solve for x
    x = 14,432,728,238,035,652,575,232/80,303,118,153
  6. Step 6: Final answer
    x = 179,728,117,288.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.