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Finding the Third Proportional to 169,250,875 and 368,548,768

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Solution

The third proportional to 169,250,875 and 368,548,768 is: 802,525,803.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,250,875 : 368,548,768 = 368,548,768 : x
  2. Step 2: Convert to fraction form
    169,250,875/368,548,768 = 368,548,768/x
  3. Step 3: Cross multiply
    169,250,875x = 368,548,768 × 368,548,768
  4. Step 4: Simplify right side
    169,250,875x = 135,828,194,394,317,824
  5. Step 5: Solve for x
    x = 135,828,194,394,317,824/169,250,875
  6. Step 6: Final answer
    x = 802,525,803.16

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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.