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Finding the Third Proportional to 102,785,640 and 222,507,402

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Solution

The third proportional to 102,785,640 and 222,507,402 is: 481,677,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,785,640 : 222,507,402 = 222,507,402 : x
  2. Step 2: Convert to fraction form
    102,785,640/222,507,402 = 222,507,402/x
  3. Step 3: Cross multiply
    102,785,640x = 222,507,402 × 222,507,402
  4. Step 4: Simplify right side
    102,785,640x = 49,509,543,944,789,600
  5. Step 5: Solve for x
    x = 49,509,543,944,789,600/102,785,640
  6. Step 6: Final answer
    x = 481,677,634.59

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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.