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Finding the Third Proportional to 176,662,992 and 386,078,496

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Solution

The third proportional to 176,662,992 and 386,078,496 is: 843,734,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,662,992 : 386,078,496 = 386,078,496 : x
  2. Step 2: Convert to fraction form
    176,662,992/386,078,496 = 386,078,496/x
  3. Step 3: Cross multiply
    176,662,992x = 386,078,496 × 386,078,496
  4. Step 4: Simplify right side
    176,662,992x = 149,056,605,073,622,016
  5. Step 5: Solve for x
    x = 149,056,605,073,622,016/176,662,992
  6. Step 6: Final answer
    x = 843,734,182.16

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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.