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Finding the Third Proportional to 169,488,946.13 and 239,892,667.88

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Solution

The third proportional to 169,488,946.13 and 239,892,667.88 is: 339,541,270.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,488,946.13 : 239,892,667.88 = 239,892,667.88 : x
  2. Step 2: Convert to fraction form
    169,488,946.13/239,892,667.88 = 239,892,667.88/x
  3. Step 3: Cross multiply
    169,488,946.13x = 239,892,667.88 × 239,892,667.88
  4. Step 4: Simplify right side
    169,488,946.13x = 57,548,492,100,185,056
  5. Step 5: Solve for x
    x = 57,548,492,100,185,056/169,488,946.13
  6. Step 6: Final answer
    x = 339,541,270.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.