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Finding the Third Proportional to 111,051,989,796 and 169,180,024,806

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Solution

The third proportional to 111,051,989,796 and 169,180,024,806 is: 257,734,065,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051,989,796 : 169,180,024,806 = 169,180,024,806 : x
  2. Step 2: Convert to fraction form
    111,051,989,796/169,180,024,806 = 169,180,024,806/x
  3. Step 3: Cross multiply
    111,051,989,796x = 169,180,024,806 × 169,180,024,806
  4. Step 4: Simplify right side
    111,051,989,796x = 28,621,880,793,358,776,926,208
  5. Step 5: Solve for x
    x = 28,621,880,793,358,776,926,208/111,051,989,796
  6. Step 6: Final answer
    x = 257,734,065,332.25

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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.