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Finding the Third Proportional to 53,110,898 and 114,293,058.50

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Solution

The third proportional to 53,110,898 and 114,293,058.50 is: 245,955,231.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,110,898 : 114,293,058.50 = 114,293,058.50 : x
  2. Step 2: Convert to fraction form
    53,110,898/114,293,058.50 = 114,293,058.50/x
  3. Step 3: Cross multiply
    53,110,898x = 114,293,058.50 × 114,293,058.50
  4. Step 4: Simplify right side
    53,110,898x = 13,062,903,221,284,422
  5. Step 5: Solve for x
    x = 13,062,903,221,284,422/53,110,898
  6. Step 6: Final answer
    x = 245,955,231.66

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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.