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Finding the Third Proportional to 53,977,203 and 117,538,326

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Solution

The third proportional to 53,977,203 and 117,538,326 is: 255,946,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977,203 : 117,538,326 = 117,538,326 : x
  2. Step 2: Convert to fraction form
    53,977,203/117,538,326 = 117,538,326/x
  3. Step 3: Cross multiply
    53,977,203x = 117,538,326 × 117,538,326
  4. Step 4: Simplify right side
    53,977,203x = 13,815,258,078,882,276
  5. Step 5: Solve for x
    x = 13,815,258,078,882,276/53,977,203
  6. Step 6: Final answer
    x = 255,946,164.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.