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Finding the Third Proportional to 140,883,160 and 306,777,256

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Solution

The third proportional to 140,883,160 and 306,777,256 is: 668,016,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883,160 : 306,777,256 = 306,777,256 : x
  2. Step 2: Convert to fraction form
    140,883,160/306,777,256 = 306,777,256/x
  3. Step 3: Cross multiply
    140,883,160x = 306,777,256 × 306,777,256
  4. Step 4: Simplify right side
    140,883,160x = 94,112,284,798,889,536
  5. Step 5: Solve for x
    x = 94,112,284,798,889,536/140,883,160
  6. Step 6: Final answer
    x = 668,016,566.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.