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Finding the Third Proportional to 130,085,676 and 281,605,835.25

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Solution

The third proportional to 130,085,676 and 281,605,835.25 is: 609,612,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,085,676 : 281,605,835.25 = 281,605,835.25 : x
  2. Step 2: Convert to fraction form
    130,085,676/281,605,835.25 = 281,605,835.25/x
  3. Step 3: Cross multiply
    130,085,676x = 281,605,835.25 × 281,605,835.25
  4. Step 4: Simplify right side
    130,085,676x = 79,301,846,446,850,144
  5. Step 5: Solve for x
    x = 79,301,846,446,850,144/130,085,676
  6. Step 6: Final answer
    x = 609,612,440.70

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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.