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Finding the Third Proportional to 53,445,531 and 114,449,334

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Solution

The third proportional to 53,445,531 and 114,449,334 is: 245,084,103.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,445,531 : 114,449,334 = 114,449,334 : x
  2. Step 2: Convert to fraction form
    53,445,531/114,449,334 = 114,449,334/x
  3. Step 3: Cross multiply
    53,445,531x = 114,449,334 × 114,449,334
  4. Step 4: Simplify right side
    53,445,531x = 13,098,650,053,043,556
  5. Step 5: Solve for x
    x = 13,098,650,053,043,556/53,445,531
  6. Step 6: Final answer
    x = 245,084,103.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.