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Finding the Third Proportional to 64,138,503.38 and 140,037,872.63

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Solution

The third proportional to 64,138,503.38 and 140,037,872.63 is: 305,754,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,138,503.38 : 140,037,872.63 = 140,037,872.63 : x
  2. Step 2: Convert to fraction form
    64,138,503.38/140,037,872.63 = 140,037,872.63/x
  3. Step 3: Cross multiply
    64,138,503.38x = 140,037,872.63 × 140,037,872.63
  4. Step 4: Simplify right side
    64,138,503.38x = 19,610,605,769,335,724
  5. Step 5: Solve for x
    x = 19,610,605,769,335,724/64,138,503.38
  6. Step 6: Final answer
    x = 305,754,028.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.