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Finding the Third Proportional to 102,197,010,015 and 223,659,701,010

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Solution

The third proportional to 102,197,010,015 and 223,659,701,010 is: 489,482,636,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197,010,015 : 223,659,701,010 = 223,659,701,010 : x
  2. Step 2: Convert to fraction form
    102,197,010,015/223,659,701,010 = 223,659,701,010/x
  3. Step 3: Cross multiply
    102,197,010,015x = 223,659,701,010 × 223,659,701,010
  4. Step 4: Simplify right side
    102,197,010,015x = 50,023,661,855,882,598,154,240
  5. Step 5: Solve for x
    x = 50,023,661,855,882,598,154,240/102,197,010,015
  6. Step 6: Final answer
    x = 489,482,636,023.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.