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Finding the Third Proportional to 230,255,046 and 500,853,062

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Solution

The third proportional to 230,255,046 and 500,853,062 is: 1,089,460,552.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,255,046 : 500,853,062 = 500,853,062 : x
  2. Step 2: Convert to fraction form
    230,255,046/500,853,062 = 500,853,062/x
  3. Step 3: Cross multiply
    230,255,046x = 500,853,062 × 500,853,062
  4. Step 4: Simplify right side
    230,255,046x = 250,853,789,714,775,840
  5. Step 5: Solve for x
    x = 250,853,789,714,775,840/230,255,046
  6. Step 6: Final answer
    x = 1,089,460,552.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.