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Finding the Third Proportional to 176,067,768 and 386,147,724

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Solution

The third proportional to 176,067,768 and 386,147,724 is: 846,890,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,067,768 : 386,147,724 = 386,147,724 : x
  2. Step 2: Convert to fraction form
    176,067,768/386,147,724 = 386,147,724/x
  3. Step 3: Cross multiply
    176,067,768x = 386,147,724 × 386,147,724
  4. Step 4: Simplify right side
    176,067,768x = 149,110,064,750,380,160
  5. Step 5: Solve for x
    x = 149,110,064,750,380,160/176,067,768
  6. Step 6: Final answer
    x = 846,890,185.77

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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.