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Finding the Third Proportional to 53,283,695 and 116,532,334

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Solution

The third proportional to 53,283,695 and 116,532,334 is: 254,858,167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,283,695 : 116,532,334 = 116,532,334 : x
  2. Step 2: Convert to fraction form
    53,283,695/116,532,334 = 116,532,334/x
  3. Step 3: Cross multiply
    53,283,695x = 116,532,334 × 116,532,334
  4. Step 4: Simplify right side
    53,283,695x = 13,579,784,867,487,556
  5. Step 5: Solve for x
    x = 13,579,784,867,487,556/53,283,695
  6. Step 6: Final answer
    x = 254,858,167.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.