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Finding the Third Proportional to 538,097,394 and 769,480,190.25

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Solution

The third proportional to 538,097,394 and 769,480,190.25 is: 1,100,357,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,097,394 : 769,480,190.25 = 769,480,190.25 : x
  2. Step 2: Convert to fraction form
    538,097,394/769,480,190.25 = 769,480,190.25/x
  3. Step 3: Cross multiply
    538,097,394x = 769,480,190.25 × 769,480,190.25
  4. Step 4: Simplify right side
    538,097,394x = 592,099,763,187,176,192
  5. Step 5: Solve for x
    x = 592,099,763,187,176,192/538,097,394
  6. Step 6: Final answer
    x = 1,100,357,983.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.