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Finding the Third Proportional to 233,265,514 and 501,148,199

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Solution

The third proportional to 233,265,514 and 501,148,199 is: 1,076,668,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,514 : 501,148,199 = 501,148,199 : x
  2. Step 2: Convert to fraction form
    233,265,514/501,148,199 = 501,148,199/x
  3. Step 3: Cross multiply
    233,265,514x = 501,148,199 × 501,148,199
  4. Step 4: Simplify right side
    233,265,514x = 251,149,517,360,943,616
  5. Step 5: Solve for x
    x = 251,149,517,360,943,616/233,265,514
  6. Step 6: Final answer
    x = 1,076,668,012.58

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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.