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Finding the Third Proportional to 233,265,519 and 501,148,203.75

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Solution

The third proportional to 233,265,519 and 501,148,203.75 is: 1,076,668,009.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,519 : 501,148,203.75 = 501,148,203.75 : x
  2. Step 2: Convert to fraction form
    233,265,519/501,148,203.75 = 501,148,203.75/x
  3. Step 3: Cross multiply
    233,265,519x = 501,148,203.75 × 501,148,203.75
  4. Step 4: Simplify right side
    233,265,519x = 251,149,522,121,851,520
  5. Step 5: Solve for x
    x = 251,149,522,121,851,520/233,265,519
  6. Step 6: Final answer
    x = 1,076,668,009.91

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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.