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Finding the Third Proportional to 175,598,995 and 378,168,488

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Solution

The third proportional to 175,598,995 and 378,168,488 is: 814,420,408.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,598,995 : 378,168,488 = 378,168,488 : x
  2. Step 2: Convert to fraction form
    175,598,995/378,168,488 = 378,168,488/x
  3. Step 3: Cross multiply
    175,598,995x = 378,168,488 × 378,168,488
  4. Step 4: Simplify right side
    175,598,995x = 143,011,405,316,206,144
  5. Step 5: Solve for x
    x = 143,011,405,316,206,144/175,598,995
  6. Step 6: Final answer
    x = 814,420,408.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.