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Finding the Third Proportional to 183,880,196 and 395,658,016

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Solution

The third proportional to 183,880,196 and 395,658,016 is: 851,343,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,880,196 : 395,658,016 = 395,658,016 : x
  2. Step 2: Convert to fraction form
    183,880,196/395,658,016 = 395,658,016/x
  3. Step 3: Cross multiply
    183,880,196x = 395,658,016 × 395,658,016
  4. Step 4: Simplify right side
    183,880,196x = 156,545,265,625,056,256
  5. Step 5: Solve for x
    x = 156,545,265,625,056,256/183,880,196
  6. Step 6: Final answer
    x = 851,343,804.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.