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Finding the Third Proportional to 111,051,989,802 and 169,180,024,824

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Solution

The third proportional to 111,051,989,802 and 169,180,024,824 is: 257,734,065,373.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,051,989,802 : 169,180,024,824 = 169,180,024,824 : x
  2. Step 2: Convert to fraction form
    111,051,989,802/169,180,024,824 = 169,180,024,824/x
  3. Step 3: Cross multiply
    111,051,989,802x = 169,180,024,824 × 169,180,024,824
  4. Step 4: Simplify right side
    111,051,989,802x = 28,621,880,799,449,254,461,440
  5. Step 5: Solve for x
    x = 28,621,880,799,449,254,461,440/111,051,989,802
  6. Step 6: Final answer
    x = 257,734,065,373.17

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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.