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Finding the Third Proportional to 127,218,146 and 276,963,213

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Solution

The third proportional to 127,218,146 and 276,963,213 is: 602,969,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,218,146 : 276,963,213 = 276,963,213 : x
  2. Step 2: Convert to fraction form
    127,218,146/276,963,213 = 276,963,213/x
  3. Step 3: Cross multiply
    127,218,146x = 276,963,213 × 276,963,213
  4. Step 4: Simplify right side
    127,218,146x = 76,708,621,355,283,376
  5. Step 5: Solve for x
    x = 76,708,621,355,283,376/127,218,146
  6. Step 6: Final answer
    x = 602,969,181.42

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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.