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Finding the Third Proportional to 111,051,989,754 and 169,180,024,747

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Solution

The third proportional to 111,051,989,754 and 169,180,024,747 is: 257,734,065,249.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051,989,754 : 169,180,024,747 = 169,180,024,747 : x
  2. Step 2: Convert to fraction form
    111,051,989,754/169,180,024,747 = 169,180,024,747/x
  3. Step 3: Cross multiply
    111,051,989,754x = 169,180,024,747 × 169,180,024,747
  4. Step 4: Simplify right side
    111,051,989,754x = 28,621,880,773,395,534,053,376
  5. Step 5: Solve for x
    x = 28,621,880,773,395,534,053,376/111,051,989,754
  6. Step 6: Final answer
    x = 257,734,065,249.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.