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Finding the Third Proportional to 64,169,288 and 133,625,968

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Solution

The third proportional to 64,169,288 and 133,625,968 is: 278,262,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,169,288 : 133,625,968 = 133,625,968 : x
  2. Step 2: Convert to fraction form
    64,169,288/133,625,968 = 133,625,968/x
  3. Step 3: Cross multiply
    64,169,288x = 133,625,968 × 133,625,968
  4. Step 4: Simplify right side
    64,169,288x = 17,855,899,323,937,024
  5. Step 5: Solve for x
    x = 17,855,899,323,937,024/64,169,288
  6. Step 6: Final answer
    x = 278,262,388.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.