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Finding the Third Proportional to 111,397,036 and 170,298,078

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Solution

The third proportional to 111,397,036 and 170,298,078 is: 260,342,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,397,036 : 170,298,078 = 170,298,078 : x
  2. Step 2: Convert to fraction form
    111,397,036/170,298,078 = 170,298,078/x
  3. Step 3: Cross multiply
    111,397,036x = 170,298,078 × 170,298,078
  4. Step 4: Simplify right side
    111,397,036x = 29,001,435,370,494,084
  5. Step 5: Solve for x
    x = 29,001,435,370,494,084/111,397,036
  6. Step 6: Final answer
    x = 260,342,971.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.