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Finding the Third Proportional to 176,662,996 and 386,078,504

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Solution

The third proportional to 176,662,996 and 386,078,504 is: 843,734,198.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,662,996 : 386,078,504 = 386,078,504 : x
  2. Step 2: Convert to fraction form
    176,662,996/386,078,504 = 386,078,504/x
  3. Step 3: Cross multiply
    176,662,996x = 386,078,504 × 386,078,504
  4. Step 4: Simplify right side
    176,662,996x = 149,056,611,250,878,016
  5. Step 5: Solve for x
    x = 149,056,611,250,878,016/176,662,996
  6. Step 6: Final answer
    x = 843,734,198.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.