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Finding the Third Proportional to 109,076,625 and 242,366,715

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Solution

The third proportional to 109,076,625 and 242,366,715 is: 538,535,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,076,625 : 242,366,715 = 242,366,715 : x
  2. Step 2: Convert to fraction form
    109,076,625/242,366,715 = 242,366,715/x
  3. Step 3: Cross multiply
    109,076,625x = 242,366,715 × 242,366,715
  4. Step 4: Simplify right side
    109,076,625x = 58,741,624,539,891,224
  5. Step 5: Solve for x
    x = 58,741,624,539,891,224/109,076,625
  6. Step 6: Final answer
    x = 538,535,406.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.