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Finding the Third Proportional to 118,585,108 and 256,964,240

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Solution

The third proportional to 118,585,108 and 256,964,240 is: 556,820,512.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,585,108 : 256,964,240 = 256,964,240 : x
  2. Step 2: Convert to fraction form
    118,585,108/256,964,240 = 256,964,240/x
  3. Step 3: Cross multiply
    118,585,108x = 256,964,240 × 256,964,240
  4. Step 4: Simplify right side
    118,585,108x = 66,030,620,638,777,600
  5. Step 5: Solve for x
    x = 66,030,620,638,777,600/118,585,108
  6. Step 6: Final answer
    x = 556,820,512.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.