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Finding the Third Proportional to 69,352,192 and 102,017,312

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Solution

The third proportional to 69,352,192 and 102,017,312 is: 150,067,815.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,352,192 : 102,017,312 = 102,017,312 : x
  2. Step 2: Convert to fraction form
    69,352,192/102,017,312 = 102,017,312/x
  3. Step 3: Cross multiply
    69,352,192x = 102,017,312 × 102,017,312
  4. Step 4: Simplify right side
    69,352,192x = 10,407,531,947,705,344
  5. Step 5: Solve for x
    x = 10,407,531,947,705,344/69,352,192
  6. Step 6: Final answer
    x = 150,067,815.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.