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Finding the Third Proportional to 233,265,514.50 and 501,148,194

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Solution

The third proportional to 233,265,514.50 and 501,148,194 is: 1,076,667,988.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,514.50 : 501,148,194 = 501,148,194 : x
  2. Step 2: Convert to fraction form
    233,265,514.50/501,148,194 = 501,148,194/x
  3. Step 3: Cross multiply
    233,265,514.50x = 501,148,194 × 501,148,194
  4. Step 4: Simplify right side
    233,265,514.50x = 251,149,512,349,461,632
  5. Step 5: Solve for x
    x = 251,149,512,349,461,632/233,265,514.50
  6. Step 6: Final answer
    x = 1,076,667,988.78

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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.