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Finding the Third Proportional to 53,110,911 and 114,293,094

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Solution

The third proportional to 53,110,911 and 114,293,094 is: 245,955,324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,110,911 : 114,293,094 = 114,293,094 : x
  2. Step 2: Convert to fraction form
    53,110,911/114,293,094 = 114,293,094/x
  3. Step 3: Cross multiply
    53,110,911x = 114,293,094 × 114,293,094
  4. Step 4: Simplify right side
    53,110,911x = 13,062,911,336,092,836
  5. Step 5: Solve for x
    x = 13,062,911,336,092,836/53,110,911
  6. Step 6: Final answer
    x = 245,955,324.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.