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Finding the Third Proportional to 157,722,513 and 343,218,006

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Solution

The third proportional to 157,722,513 and 343,218,006 is: 746,872,449.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722,513 : 343,218,006 = 343,218,006 : x
  2. Step 2: Convert to fraction form
    157,722,513/343,218,006 = 343,218,006/x
  3. Step 3: Cross multiply
    157,722,513x = 343,218,006 × 343,218,006
  4. Step 4: Simplify right side
    157,722,513x = 117,798,599,642,616,032
  5. Step 5: Solve for x
    x = 117,798,599,642,616,032/157,722,513
  6. Step 6: Final answer
    x = 746,872,449.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.