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Finding the Third Proportional to 238,164,538 and 510,789,110

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Solution

The third proportional to 238,164,538 and 510,789,110 is: 1,095,484,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,164,538 : 510,789,110 = 510,789,110 : x
  2. Step 2: Convert to fraction form
    238,164,538/510,789,110 = 510,789,110/x
  3. Step 3: Cross multiply
    238,164,538x = 510,789,110 × 510,789,110
  4. Step 4: Simplify right side
    238,164,538x = 260,905,514,894,592,096
  5. Step 5: Solve for x
    x = 260,905,514,894,592,096/238,164,538
  6. Step 6: Final answer
    x = 1,095,484,311.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.