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Finding the Third Proportional to 210,865,737,422 and 321,232,163,953

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Solution

The third proportional to 210,865,737,422 and 321,232,163,953 is: 489,364,011,524.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865,737,422 : 321,232,163,953 = 321,232,163,953 : x
  2. Step 2: Convert to fraction form
    210,865,737,422/321,232,163,953 = 321,232,163,953/x
  3. Step 3: Cross multiply
    210,865,737,422x = 321,232,163,953 × 321,232,163,953
  4. Step 4: Simplify right side
    210,865,737,422x = 103,190,103,157,927,080,624,128
  5. Step 5: Solve for x
    x = 103,190,103,157,927,080,624,128/210,865,737,422
  6. Step 6: Final answer
    x = 489,364,011,524.62

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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.