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Finding the Third Proportional to 216,048,060 and 308,728,098

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Solution

The third proportional to 216,048,060 and 308,728,098 is: 441,165,907.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,048,060 : 308,728,098 = 308,728,098 : x
  2. Step 2: Convert to fraction form
    216,048,060/308,728,098 = 308,728,098/x
  3. Step 3: Cross multiply
    216,048,060x = 308,728,098 × 308,728,098
  4. Step 4: Simplify right side
    216,048,060x = 95,313,038,494,697,600
  5. Step 5: Solve for x
    x = 95,313,038,494,697,600/216,048,060
  6. Step 6: Final answer
    x = 441,165,907.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.