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Finding the Third Proportional to 170,328,514.50 and 255,209,413.50

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Solution

The third proportional to 170,328,514.50 and 255,209,413.50 is: 382,389,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,328,514.50 : 255,209,413.50 = 255,209,413.50 : x
  2. Step 2: Convert to fraction form
    170,328,514.50/255,209,413.50 = 255,209,413.50/x
  3. Step 3: Cross multiply
    170,328,514.50x = 255,209,413.50 × 255,209,413.50
  4. Step 4: Simplify right side
    170,328,514.50x = 65,131,844,739,013,984
  5. Step 5: Solve for x
    x = 65,131,844,739,013,984/170,328,514.50
  6. Step 6: Final answer
    x = 382,389,554.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.