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Finding the Third Proportional to 176,067,891 and 386,148,006

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Solution

The third proportional to 176,067,891 and 386,148,006 is: 846,890,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,067,891 : 386,148,006 = 386,148,006 : x
  2. Step 2: Convert to fraction form
    176,067,891/386,148,006 = 386,148,006/x
  3. Step 3: Cross multiply
    176,067,891x = 386,148,006 × 386,148,006
  4. Step 4: Simplify right side
    176,067,891x = 149,110,282,537,776,032
  5. Step 5: Solve for x
    x = 149,110,282,537,776,032/176,067,891
  6. Step 6: Final answer
    x = 846,890,831.09

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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.