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Finding the Third Proportional to 103,673,470 and 222,732,380

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Solution

The third proportional to 103,673,470 and 222,732,380 is: 478,518,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,470 : 222,732,380 = 222,732,380 : x
  2. Step 2: Convert to fraction form
    103,673,470/222,732,380 = 222,732,380/x
  3. Step 3: Cross multiply
    103,673,470x = 222,732,380 × 222,732,380
  4. Step 4: Simplify right side
    103,673,470x = 49,609,713,100,464,400
  5. Step 5: Solve for x
    x = 49,609,713,100,464,400/103,673,470
  6. Step 6: Final answer
    x = 478,518,883.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.