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Finding the Third Proportional to 170,284,688 and 259,677,920

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Solution

The third proportional to 170,284,688 and 259,677,920 is: 395,999,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,284,688 : 259,677,920 = 259,677,920 : x
  2. Step 2: Convert to fraction form
    170,284,688/259,677,920 = 259,677,920/x
  3. Step 3: Cross multiply
    170,284,688x = 259,677,920 × 259,677,920
  4. Step 4: Simplify right side
    170,284,688x = 67,432,622,135,526,400
  5. Step 5: Solve for x
    x = 67,432,622,135,526,400/170,284,688
  6. Step 6: Final answer
    x = 395,999,328.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.