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Finding the Third Proportional to 100,898,850,926.25 and 141,907,482,893.25

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Solution

The third proportional to 100,898,850,926.25 and 141,907,482,893.25 is: 199,583,379,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898,850,926.25 : 141,907,482,893.25 = 141,907,482,893.25 : x
  2. Step 2: Convert to fraction form
    100,898,850,926.25/141,907,482,893.25 = 141,907,482,893.25/x
  3. Step 3: Cross multiply
    100,898,850,926.25x = 141,907,482,893.25 × 141,907,482,893.25
  4. Step 4: Simplify right side
    100,898,850,926.25x = 20,137,733,701,098,039,934,976
  5. Step 5: Solve for x
    x = 20,137,733,701,098,039,934,976/100,898,850,926.25
  6. Step 6: Final answer
    x = 199,583,379,951.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.