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Finding the Third Proportional to 118,732,674 and 181,630,080

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Solution

The third proportional to 118,732,674 and 181,630,080 is: 277,846,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,732,674 : 181,630,080 = 181,630,080 : x
  2. Step 2: Convert to fraction form
    118,732,674/181,630,080 = 181,630,080/x
  3. Step 3: Cross multiply
    118,732,674x = 181,630,080 × 181,630,080
  4. Step 4: Simplify right side
    118,732,674x = 32,989,485,960,806,400
  5. Step 5: Solve for x
    x = 32,989,485,960,806,400/118,732,674
  6. Step 6: Final answer
    x = 277,846,736.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.