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Finding the Third Proportional to 134,331,463,404 and 293,968,145,880

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Solution

The third proportional to 134,331,463,404 and 293,968,145,880 is: 643,313,700,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,331,463,404 : 293,968,145,880 = 293,968,145,880 : x
  2. Step 2: Convert to fraction form
    134,331,463,404/293,968,145,880 = 293,968,145,880/x
  3. Step 3: Cross multiply
    134,331,463,404x = 293,968,145,880 × 293,968,145,880
  4. Step 4: Simplify right side
    134,331,463,404x = 86,417,270,792,124,962,439,168
  5. Step 5: Solve for x
    x = 86,417,270,792,124,962,439,168/134,331,463,404
  6. Step 6: Final answer
    x = 643,313,700,322.21

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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.