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Finding the Third Proportional to 171,112,532 and 369,497,448

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Solution

The third proportional to 171,112,532 and 369,497,448 is: 797,886,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,112,532 : 369,497,448 = 369,497,448 : x
  2. Step 2: Convert to fraction form
    171,112,532/369,497,448 = 369,497,448/x
  3. Step 3: Cross multiply
    171,112,532x = 369,497,448 × 369,497,448
  4. Step 4: Simplify right side
    171,112,532x = 136,528,364,078,512,704
  5. Step 5: Solve for x
    x = 136,528,364,078,512,704/171,112,532
  6. Step 6: Final answer
    x = 797,886,411.26

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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.