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Finding the Third Proportional to 129,680,473.50 and 284,591,029.50

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Solution

The third proportional to 129,680,473.50 and 284,591,029.50 is: 624,550,881.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,680,473.50 : 284,591,029.50 = 284,591,029.50 : x
  2. Step 2: Convert to fraction form
    129,680,473.50/284,591,029.50 = 284,591,029.50/x
  3. Step 3: Cross multiply
    129,680,473.50x = 284,591,029.50 × 284,591,029.50
  4. Step 4: Simplify right side
    129,680,473.50x = 80,992,054,071,869,872
  5. Step 5: Solve for x
    x = 80,992,054,071,869,872/129,680,473.50
  6. Step 6: Final answer
    x = 624,550,881.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.