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Finding the Third Proportional to 233,273,301.75 and 501,165,112.50

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Solution

The third proportional to 233,273,301.75 and 501,165,112.50 is: 1,076,704,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,273,301.75 : 501,165,112.50 = 501,165,112.50 : x
  2. Step 2: Convert to fraction form
    233,273,301.75/501,165,112.50 = 501,165,112.50/x
  3. Step 3: Cross multiply
    233,273,301.75x = 501,165,112.50 × 501,165,112.50
  4. Step 4: Simplify right side
    233,273,301.75x = 251,166,469,987,137,664
  5. Step 5: Solve for x
    x = 251,166,469,987,137,664/233,273,301.75
  6. Step 6: Final answer
    x = 1,076,704,741.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.