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Finding the Third Proportional to 97,106,349 and 208,028,973

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Solution

The third proportional to 97,106,349 and 208,028,973 is: 445,656,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,106,349 : 208,028,973 = 208,028,973 : x
  2. Step 2: Convert to fraction form
    97,106,349/208,028,973 = 208,028,973/x
  3. Step 3: Cross multiply
    97,106,349x = 208,028,973 × 208,028,973
  4. Step 4: Simplify right side
    97,106,349x = 43,276,053,607,434,728
  5. Step 5: Solve for x
    x = 43,276,053,607,434,728/97,106,349
  6. Step 6: Final answer
    x = 445,656,273.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.