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Finding the Third Proportional to 95,510,787,201 and 204,438,570,084

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Solution

The third proportional to 95,510,787,201 and 204,438,570,084 is: 437,595,900,555.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,510,787,201 : 204,438,570,084 = 204,438,570,084 : x
  2. Step 2: Convert to fraction form
    95,510,787,201/204,438,570,084 = 204,438,570,084/x
  3. Step 3: Cross multiply
    95,510,787,201x = 204,438,570,084 × 204,438,570,084
  4. Step 4: Simplify right side
    95,510,787,201x = 41,795,128,937,990,575,882,240
  5. Step 5: Solve for x
    x = 41,795,128,937,990,575,882,240/95,510,787,201
  6. Step 6: Final answer
    x = 437,595,900,555.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.