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Finding the Third Proportional to 210,865,737,414 and 321,232,163,944.50

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Solution

The third proportional to 210,865,737,414 and 321,232,163,944.50 is: 489,364,011,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865,737,414 : 321,232,163,944.50 = 321,232,163,944.50 : x
  2. Step 2: Convert to fraction form
    210,865,737,414/321,232,163,944.50 = 321,232,163,944.50/x
  3. Step 3: Cross multiply
    210,865,737,414x = 321,232,163,944.50 × 321,232,163,944.50
  4. Step 4: Simplify right side
    210,865,737,414x = 103,190,103,152,466,130,370,560
  5. Step 5: Solve for x
    x = 103,190,103,152,466,130,370,560/210,865,737,414
  6. Step 6: Final answer
    x = 489,364,011,517.29

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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.