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Finding the Third Proportional to 147,650,949 and 323,091,018

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Solution

The third proportional to 147,650,949 and 323,091,018 is: 706,990,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,650,949 : 323,091,018 = 323,091,018 : x
  2. Step 2: Convert to fraction form
    147,650,949/323,091,018 = 323,091,018/x
  3. Step 3: Cross multiply
    147,650,949x = 323,091,018 × 323,091,018
  4. Step 4: Simplify right side
    147,650,949x = 104,387,805,912,276,320
  5. Step 5: Solve for x
    x = 104,387,805,912,276,320/147,650,949
  6. Step 6: Final answer
    x = 706,990,416.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.