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Finding the Third Proportional to 117,969,747 and 183,165,701

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Solution

The third proportional to 117,969,747 and 183,165,701 is: 284,392,184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969,747 : 183,165,701 = 183,165,701 : x
  2. Step 2: Convert to fraction form
    117,969,747/183,165,701 = 183,165,701/x
  3. Step 3: Cross multiply
    117,969,747x = 183,165,701 × 183,165,701
  4. Step 4: Simplify right side
    117,969,747x = 33,549,674,022,821,400
  5. Step 5: Solve for x
    x = 33,549,674,022,821,400/117,969,747
  6. Step 6: Final answer
    x = 284,392,184.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.