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Finding the Third Proportional to 113,342,172,286.50 and 248,035,623,165

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Solution

The third proportional to 113,342,172,286.50 and 248,035,623,165 is: 542,795,934,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,342,172,286.50 : 248,035,623,165 = 248,035,623,165 : x
  2. Step 2: Convert to fraction form
    113,342,172,286.50/248,035,623,165 = 248,035,623,165/x
  3. Step 3: Cross multiply
    113,342,172,286.50x = 248,035,623,165 × 248,035,623,165
  4. Step 4: Simplify right side
    113,342,172,286.50x = 61,521,670,358,849,883,734,016
  5. Step 5: Solve for x
    x = 61,521,670,358,849,883,734,016/113,342,172,286.50
  6. Step 6: Final answer
    x = 542,795,934,802.97

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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.