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Finding the Third Proportional to 169,250,705 and 368,548,422

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Solution

The third proportional to 169,250,705 and 368,548,422 is: 802,525,102.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,250,705 : 368,548,422 = 368,548,422 : x
  2. Step 2: Convert to fraction form
    169,250,705/368,548,422 = 368,548,422/x
  3. Step 3: Cross multiply
    169,250,705x = 368,548,422 × 368,548,422
  4. Step 4: Simplify right side
    169,250,705x = 135,827,939,358,690,080
  5. Step 5: Solve for x
    x = 135,827,939,358,690,080/169,250,705
  6. Step 6: Final answer
    x = 802,525,102.38

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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.