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Finding the Third Proportional to 182,013,822 and 393,117,201

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Solution

The third proportional to 182,013,822 and 393,117,201 is: 849,062,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,013,822 : 393,117,201 = 393,117,201 : x
  2. Step 2: Convert to fraction form
    182,013,822/393,117,201 = 393,117,201/x
  3. Step 3: Cross multiply
    182,013,822x = 393,117,201 × 393,117,201
  4. Step 4: Simplify right side
    182,013,822x = 154,541,133,722,074,400
  5. Step 5: Solve for x
    x = 154,541,133,722,074,400/182,013,822
  6. Step 6: Final answer
    x = 849,062,626.26

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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.