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Finding the Third Proportional to 117,969,745 and 183,165,698.50

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Solution

The third proportional to 117,969,745 and 183,165,698.50 is: 284,392,181.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969,745 : 183,165,698.50 = 183,165,698.50 : x
  2. Step 2: Convert to fraction form
    117,969,745/183,165,698.50 = 183,165,698.50/x
  3. Step 3: Cross multiply
    117,969,745x = 183,165,698.50 × 183,165,698.50
  4. Step 4: Simplify right side
    117,969,745x = 33,549,673,106,992,904
  5. Step 5: Solve for x
    x = 33,549,673,106,992,904/117,969,745
  6. Step 6: Final answer
    x = 284,392,181.29

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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.