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Finding the Third Proportional to 233,265,514 and 501,148,196

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Solution

The third proportional to 233,265,514 and 501,148,196 is: 1,076,667,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265,514 : 501,148,196 = 501,148,196 : x
  2. Step 2: Convert to fraction form
    233,265,514/501,148,196 = 501,148,196/x
  3. Step 3: Cross multiply
    233,265,514x = 501,148,196 × 501,148,196
  4. Step 4: Simplify right side
    233,265,514x = 251,149,514,354,054,400
  5. Step 5: Solve for x
    x = 251,149,514,354,054,400/233,265,514
  6. Step 6: Final answer
    x = 1,076,667,999.69

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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.