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Finding the Third Proportional to 53,444,144.50 and 117,102,641

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Solution

The third proportional to 53,444,144.50 and 117,102,641 is: 256,586,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,444,144.50 : 117,102,641 = 117,102,641 : x
  2. Step 2: Convert to fraction form
    53,444,144.50/117,102,641 = 117,102,641/x
  3. Step 3: Cross multiply
    53,444,144.50x = 117,102,641 × 117,102,641
  4. Step 4: Simplify right side
    53,444,144.50x = 13,713,028,529,174,880
  5. Step 5: Solve for x
    x = 13,713,028,529,174,880/53,444,144.50
  6. Step 6: Final answer
    x = 256,586,173.42

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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.