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Finding the Third Proportional to 210,825,261,856 and 321,177,703,312

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Solution

The third proportional to 210,825,261,856 and 321,177,703,312 is: 489,292,014,612.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,825,261,856 : 321,177,703,312 = 321,177,703,312 : x
  2. Step 2: Convert to fraction form
    210,825,261,856/321,177,703,312 = 321,177,703,312/x
  3. Step 3: Cross multiply
    210,825,261,856x = 321,177,703,312 × 321,177,703,312
  4. Step 4: Simplify right side
    210,825,261,856x = 103,155,117,104,771,102,670,848
  5. Step 5: Solve for x
    x = 103,155,117,104,771,102,670,848/210,825,261,856
  6. Step 6: Final answer
    x = 489,292,014,612.70

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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.