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Finding the Third Proportional to 210,865,737,696 and 321,232,164,265

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Solution

The third proportional to 210,865,737,696 and 321,232,164,265 is: 489,364,011,839.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865,737,696 : 321,232,164,265 = 321,232,164,265 : x
  2. Step 2: Convert to fraction form
    210,865,737,696/321,232,164,265 = 321,232,164,265/x
  3. Step 3: Cross multiply
    210,865,737,696x = 321,232,164,265 × 321,232,164,265
  4. Step 4: Simplify right side
    210,865,737,696x = 103,190,103,358,375,939,014,656
  5. Step 5: Solve for x
    x = 103,190,103,358,375,939,014,656/210,865,737,696
  6. Step 6: Final answer
    x = 489,364,011,839.34

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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.