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Finding the Third Proportional to 100,898,850,927.50 and 141,907,482,894.50

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Solution

The third proportional to 100,898,850,927.50 and 141,907,482,894.50 is: 199,583,379,952.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,898,850,927.50 : 141,907,482,894.50 = 141,907,482,894.50 : x
  2. Step 2: Convert to fraction form
    100,898,850,927.50/141,907,482,894.50 = 141,907,482,894.50/x
  3. Step 3: Cross multiply
    100,898,850,927.50x = 141,907,482,894.50 × 141,907,482,894.50
  4. Step 4: Simplify right side
    100,898,850,927.50x = 20,137,733,701,452,810,944,512
  5. Step 5: Solve for x
    x = 20,137,733,701,452,810,944,512/100,898,850,927.50
  6. Step 6: Final answer
    x = 199,583,379,952.69

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