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Finding the Third Proportional to 230,255,271 and 500,853,510

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Solution

The third proportional to 230,255,271 and 500,853,510 is: 1,089,461,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,255,271 : 500,853,510 = 500,853,510 : x
  2. Step 2: Convert to fraction form
    230,255,271/500,853,510 = 500,853,510/x
  3. Step 3: Cross multiply
    230,255,271x = 500,853,510 × 500,853,510
  4. Step 4: Simplify right side
    230,255,271x = 250,854,238,479,320,096
  5. Step 5: Solve for x
    x = 250,854,238,479,320,096/230,255,271
  6. Step 6: Final answer
    x = 1,089,461,437.26

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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.