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Finding the Third Proportional to 64,466,905.22 and 139,143,022.59

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Solution

The third proportional to 64,466,905.22 and 139,143,022.59 is: 300,321,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,466,905.22 : 139,143,022.59 = 139,143,022.59 : x
  2. Step 2: Convert to fraction form
    64,466,905.22/139,143,022.59 = 139,143,022.59/x
  3. Step 3: Cross multiply
    64,466,905.22x = 139,143,022.59 × 139,143,022.59
  4. Step 4: Simplify right side
    64,466,905.22x = 19,360,780,736,524,824
  5. Step 5: Solve for x
    x = 19,360,780,736,524,824/64,466,905.22
  6. Step 6: Final answer
    x = 300,321,237.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.