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Finding the Third Proportional to 158,279,317,504 and 341,352,846,464

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Solution

The third proportional to 158,279,317,504 and 341,352,846,464 is: 736,178,090,900.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,279,317,504 : 341,352,846,464 = 341,352,846,464 : x
  2. Step 2: Convert to fraction form
    158,279,317,504/341,352,846,464 = 341,352,846,464/x
  3. Step 3: Cross multiply
    158,279,317,504x = 341,352,846,464 × 341,352,846,464
  4. Step 4: Simplify right side
    158,279,317,504x = 116,521,765,789,075,163,316,224
  5. Step 5: Solve for x
    x = 116,521,765,789,075,163,316,224/158,279,317,504
  6. Step 6: Final answer
    x = 736,178,090,900.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.