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Finding the Third Proportional to 97,678,278 and 212,362,668

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Solution

The third proportional to 97,678,278 and 212,362,668 is: 461,698,380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,678,278 : 212,362,668 = 212,362,668 : x
  2. Step 2: Convert to fraction form
    97,678,278/212,362,668 = 212,362,668/x
  3. Step 3: Cross multiply
    97,678,278x = 212,362,668 × 212,362,668
  4. Step 4: Simplify right side
    97,678,278x = 45,097,902,760,078,224
  5. Step 5: Solve for x
    x = 45,097,902,760,078,224/97,678,278
  6. Step 6: Final answer
    x = 461,698,380.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.