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Finding the Third Proportional to 108,088,105,710 and 225,122,597,831

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Solution

The third proportional to 108,088,105,710 and 225,122,597,831 is: 468,878,455,416.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,088,105,710 : 225,122,597,831 = 225,122,597,831 : x
  2. Step 2: Convert to fraction form
    108,088,105,710/225,122,597,831 = 225,122,597,831/x
  3. Step 3: Cross multiply
    108,088,105,710x = 225,122,597,831 × 225,122,597,831
  4. Step 4: Simplify right side
    108,088,105,710x = 50,680,184,054,178,167,914,496
  5. Step 5: Solve for x
    x = 50,680,184,054,178,167,914,496/108,088,105,710
  6. Step 6: Final answer
    x = 468,878,455,416.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.