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Finding the Third Proportional to 187,463,690,578.50 and 410,741,832,030

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Solution

The third proportional to 187,463,690,578.50 and 410,741,832,030 is: 899,954,823,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,463,690,578.50 : 410,741,832,030 = 410,741,832,030 : x
  2. Step 2: Convert to fraction form
    187,463,690,578.50/410,741,832,030 = 410,741,832,030/x
  3. Step 3: Cross multiply
    187,463,690,578.50x = 410,741,832,030 × 410,741,832,030
  4. Step 4: Simplify right side
    187,463,690,578.50x = 168,708,852,579,360,718,192,640
  5. Step 5: Solve for x
    x = 168,708,852,579,360,718,192,640/187,463,690,578.50
  6. Step 6: Final answer
    x = 899,954,823,564.70

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Why These Related Problems?

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