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Finding the Third Proportional to 175,598,993 and 378,168,484

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Solution

The third proportional to 175,598,993 and 378,168,484 is: 814,420,400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,598,993 : 378,168,484 = 378,168,484 : x
  2. Step 2: Convert to fraction form
    175,598,993/378,168,484 = 378,168,484/x
  3. Step 3: Cross multiply
    175,598,993x = 378,168,484 × 378,168,484
  4. Step 4: Simplify right side
    175,598,993x = 143,011,402,290,858,256
  5. Step 5: Solve for x
    x = 143,011,402,290,858,256/175,598,993
  6. Step 6: Final answer
    x = 814,420,400.98

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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.