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Finding the Third Proportional to 117,969,739.50 and 183,165,689.50

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Solution

The third proportional to 117,969,739.50 and 183,165,689.50 is: 284,392,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,969,739.50 : 183,165,689.50 = 183,165,689.50 : x
  2. Step 2: Convert to fraction form
    117,969,739.50/183,165,689.50 = 183,165,689.50/x
  3. Step 3: Cross multiply
    117,969,739.50x = 183,165,689.50 × 183,165,689.50
  4. Step 4: Simplify right side
    117,969,739.50x = 33,549,669,810,010,412
  5. Step 5: Solve for x
    x = 33,549,669,810,010,412/117,969,739.50
  6. Step 6: Final answer
    x = 284,392,166.60

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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.