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Finding the Third Proportional to 88,528,189,508 and 191,191,311,880

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Solution

The third proportional to 88,528,189,508 and 191,191,311,880 is: 412,909,356,234.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,528,189,508 : 191,191,311,880 = 191,191,311,880 : x
  2. Step 2: Convert to fraction form
    88,528,189,508/191,191,311,880 = 191,191,311,880/x
  3. Step 3: Cross multiply
    88,528,189,508x = 191,191,311,880 × 191,191,311,880
  4. Step 4: Simplify right side
    88,528,189,508x = 36,554,117,738,395,431,075,840
  5. Step 5: Solve for x
    x = 36,554,117,738,395,431,075,840/88,528,189,508
  6. Step 6: Final answer
    x = 412,909,356,234.97

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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.