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Finding the Third Proportional to 230,255,034.75 and 500,853,042

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Solution

The third proportional to 230,255,034.75 and 500,853,042 is: 1,089,460,519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,255,034.75 : 500,853,042 = 500,853,042 : x
  2. Step 2: Convert to fraction form
    230,255,034.75/500,853,042 = 500,853,042/x
  3. Step 3: Cross multiply
    230,255,034.75x = 500,853,042 × 500,853,042
  4. Step 4: Simplify right side
    230,255,034.75x = 250,853,769,680,653,760
  5. Step 5: Solve for x
    x = 250,853,769,680,653,760/230,255,034.75
  6. Step 6: Final answer
    x = 1,089,460,519.08

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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.