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Finding the Third Proportional to 53,977,256 and 117,538,430

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Solution

The third proportional to 53,977,256 and 117,538,430 is: 255,946,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977,256 : 117,538,430 = 117,538,430 : x
  2. Step 2: Convert to fraction form
    53,977,256/117,538,430 = 117,538,430/x
  3. Step 3: Cross multiply
    53,977,256x = 117,538,430 × 117,538,430
  4. Step 4: Simplify right side
    53,977,256x = 13,815,282,526,864,900
  5. Step 5: Solve for x
    x = 13,815,282,526,864,900/53,977,256
  6. Step 6: Final answer
    x = 255,946,366.13

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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.