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Finding the Third Proportional to 130,224,825 and 283,101,138

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Solution

The third proportional to 130,224,825 and 283,101,138 is: 615,445,283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,224,825 : 283,101,138 = 283,101,138 : x
  2. Step 2: Convert to fraction form
    130,224,825/283,101,138 = 283,101,138/x
  3. Step 3: Cross multiply
    130,224,825x = 283,101,138 × 283,101,138
  4. Step 4: Simplify right side
    130,224,825x = 80,146,254,336,895,040
  5. Step 5: Solve for x
    x = 80,146,254,336,895,040/130,224,825
  6. Step 6: Final answer
    x = 615,445,283.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.