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Finding the Third Proportional to 129,205,138.50 and 198,597,541.50

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Solution

The third proportional to 129,205,138.50 and 198,597,541.50 is: 305,258,629.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,138.50 : 198,597,541.50 = 198,597,541.50 : x
  2. Step 2: Convert to fraction form
    129,205,138.50/198,597,541.50 = 198,597,541.50/x
  3. Step 3: Cross multiply
    129,205,138.50x = 198,597,541.50 × 198,597,541.50
  4. Step 4: Simplify right side
    129,205,138.50x = 39,440,983,489,844,224
  5. Step 5: Solve for x
    x = 39,440,983,489,844,224/129,205,138.50
  6. Step 6: Final answer
    x = 305,258,629.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.