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Finding the Third Proportional to 210,825,261,802 and 321,177,703,232

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Solution

The third proportional to 210,825,261,802 and 321,177,703,232 is: 489,292,014,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825,261,802 : 321,177,703,232 = 321,177,703,232 : x
  2. Step 2: Convert to fraction form
    210,825,261,802/321,177,703,232 = 321,177,703,232/x
  3. Step 3: Cross multiply
    210,825,261,802x = 321,177,703,232 × 321,177,703,232
  4. Step 4: Simplify right side
    210,825,261,802x = 103,155,117,053,382,657,835,008
  5. Step 5: Solve for x
    x = 103,155,117,053,382,657,835,008/210,825,261,802
  6. Step 6: Final answer
    x = 489,292,014,494.27

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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.