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Finding the Third Proportional to 233,265,593.25 and 501,148,428.75

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Solution

The third proportional to 233,265,593.25 and 501,148,428.75 is: 1,076,668,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,593.25 : 501,148,428.75 = 501,148,428.75 : x
  2. Step 2: Convert to fraction form
    233,265,593.25/501,148,428.75 = 501,148,428.75/x
  3. Step 3: Cross multiply
    233,265,593.25x = 501,148,428.75 × 501,148,428.75
  4. Step 4: Simplify right side
    233,265,593.25x = 251,149,747,638,593,824
  5. Step 5: Solve for x
    x = 251,149,747,638,593,824/233,265,593.25
  6. Step 6: Final answer
    x = 1,076,668,633.98

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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.