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Finding the Third Proportional to 116,860,256 and 182,364,888

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Solution

The third proportional to 116,860,256 and 182,364,888 is: 284,587,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,860,256 : 182,364,888 = 182,364,888 : x
  2. Step 2: Convert to fraction form
    116,860,256/182,364,888 = 182,364,888/x
  3. Step 3: Cross multiply
    116,860,256x = 182,364,888 × 182,364,888
  4. Step 4: Simplify right side
    116,860,256x = 33,256,952,375,252,544
  5. Step 5: Solve for x
    x = 33,256,952,375,252,544/116,860,256
  6. Step 6: Final answer
    x = 284,587,365.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.