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Finding the Third Proportional to 108,088,105,704 and 225,122,597,810

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Solution

The third proportional to 108,088,105,704 and 225,122,597,810 is: 468,878,455,354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,088,105,704 : 225,122,597,810 = 225,122,597,810 : x
  2. Step 2: Convert to fraction form
    108,088,105,704/225,122,597,810 = 225,122,597,810/x
  3. Step 3: Cross multiply
    108,088,105,704x = 225,122,597,810 × 225,122,597,810
  4. Step 4: Simplify right side
    108,088,105,704x = 50,680,184,044,723,015,516,160
  5. Step 5: Solve for x
    x = 50,680,184,044,723,015,516,160/108,088,105,704
  6. Step 6: Final answer
    x = 468,878,455,354.85

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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.