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Finding the Third Proportional to 210,865,737,689.71 and 321,232,164,255.85

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Solution

The third proportional to 210,865,737,689.71 and 321,232,164,255.85 is: 489,364,011,826.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,865,737,689.71 : 321,232,164,255.85 = 321,232,164,255.85 : x
  2. Step 2: Convert to fraction form
    210,865,737,689.71/321,232,164,255.85 = 321,232,164,255.85/x
  3. Step 3: Cross multiply
    210,865,737,689.71x = 321,232,164,255.85 × 321,232,164,255.85
  4. Step 4: Simplify right side
    210,865,737,689.71x = 103,190,103,352,497,387,077,632
  5. Step 5: Solve for x
    x = 103,190,103,352,497,387,077,632/210,865,737,689.71
  6. Step 6: Final answer
    x = 489,364,011,826.06

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.