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Finding the Third Proportional to 116,708,256 and 270,158,832

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Solution

The third proportional to 116,708,256 and 270,158,832 is: 625,369,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,708,256 : 270,158,832 = 270,158,832 : x
  2. Step 2: Convert to fraction form
    116,708,256/270,158,832 = 270,158,832/x
  3. Step 3: Cross multiply
    116,708,256x = 270,158,832 × 270,158,832
  4. Step 4: Simplify right side
    116,708,256x = 72,985,794,507,604,224
  5. Step 5: Solve for x
    x = 72,985,794,507,604,224/116,708,256
  6. Step 6: Final answer
    x = 625,369,592.60

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.