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Finding the Third Proportional to 83,638,330 and 174,150,028

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Solution

The third proportional to 83,638,330 and 174,150,028 is: 362,611,642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,638,330 : 174,150,028 = 174,150,028 : x
  2. Step 2: Convert to fraction form
    83,638,330/174,150,028 = 174,150,028/x
  3. Step 3: Cross multiply
    83,638,330x = 174,150,028 × 174,150,028
  4. Step 4: Simplify right side
    83,638,330x = 30,328,232,252,400,784
  5. Step 5: Solve for x
    x = 30,328,232,252,400,784/83,638,330
  6. Step 6: Final answer
    x = 362,611,642.92

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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.