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Finding the Third Proportional to 194,863,232 and 403,539,006

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Solution

The third proportional to 194,863,232 and 403,539,006 is: 835,682,174.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,863,232 : 403,539,006 = 403,539,006 : x
  2. Step 2: Convert to fraction form
    194,863,232/403,539,006 = 403,539,006/x
  3. Step 3: Cross multiply
    194,863,232x = 403,539,006 × 403,539,006
  4. Step 4: Simplify right side
    194,863,232x = 162,843,729,363,468,032
  5. Step 5: Solve for x
    x = 162,843,729,363,468,032/194,863,232
  6. Step 6: Final answer
    x = 835,682,174.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.