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Finding the Third Proportional to 251,017,510 and 542,369,177

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Solution

The third proportional to 251,017,510 and 542,369,177 is: 1,171,887,666.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,017,510 : 542,369,177 = 542,369,177 : x
  2. Step 2: Convert to fraction form
    251,017,510/542,369,177 = 542,369,177/x
  3. Step 3: Cross multiply
    251,017,510x = 542,369,177 × 542,369,177
  4. Step 4: Simplify right side
    251,017,510x = 294,164,324,159,657,344
  5. Step 5: Solve for x
    x = 294,164,324,159,657,344/251,017,510
  6. Step 6: Final answer
    x = 1,171,887,666.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.