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Finding the Third Proportional to 53,174,298 and 115,423,736

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Solution

The third proportional to 53,174,298 and 115,423,736 is: 250,546,586.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,174,298 : 115,423,736 = 115,423,736 : x
  2. Step 2: Convert to fraction form
    53,174,298/115,423,736 = 115,423,736/x
  3. Step 3: Cross multiply
    53,174,298x = 115,423,736 × 115,423,736
  4. Step 4: Simplify right side
    53,174,298x = 13,322,638,832,197,696
  5. Step 5: Solve for x
    x = 13,322,638,832,197,696/53,174,298
  6. Step 6: Final answer
    x = 250,546,586.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.