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Finding the Third Proportional to 108,088,105,711 and 225,122,597,833

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Solution

The third proportional to 108,088,105,711 and 225,122,597,833 is: 468,878,455,420.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,088,105,711 : 225,122,597,833 = 225,122,597,833 : x
  2. Step 2: Convert to fraction form
    108,088,105,711/225,122,597,833 = 225,122,597,833/x
  3. Step 3: Cross multiply
    108,088,105,711x = 225,122,597,833 × 225,122,597,833
  4. Step 4: Simplify right side
    108,088,105,711x = 50,680,184,055,078,659,817,472
  5. Step 5: Solve for x
    x = 50,680,184,055,078,659,817,472/108,088,105,711
  6. Step 6: Final answer
    x = 468,878,455,420.29

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