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Finding the Third Proportional to 108,088,104,877.88 and 225,122,596,504.88

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Solution

The third proportional to 108,088,104,877.88 and 225,122,596,504.88 is: 468,878,453,501.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,088,104,877.88 : 225,122,596,504.88 = 225,122,596,504.88 : x
  2. Step 2: Convert to fraction form
    108,088,104,877.88/225,122,596,504.88 = 225,122,596,504.88/x
  3. Step 3: Cross multiply
    108,088,104,877.88x = 225,122,596,504.88 × 225,122,596,504.88
  4. Step 4: Simplify right side
    108,088,104,877.88x = 50,680,183,457,099,011,850,240
  5. Step 5: Solve for x
    x = 50,680,183,457,099,011,850,240/108,088,104,877.88
  6. Step 6: Final answer
    x = 468,878,453,501.97

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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.