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Finding the Third Proportional to 108,831,133.13 and 166,411,906.88

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Solution

The third proportional to 108,831,133.13 and 166,411,906.88 is: 254,457,726.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,831,133.13 : 166,411,906.88 = 166,411,906.88 : x
  2. Step 2: Convert to fraction form
    108,831,133.13/166,411,906.88 = 166,411,906.88/x
  3. Step 3: Cross multiply
    108,831,133.13x = 166,411,906.88 × 166,411,906.88
  4. Step 4: Simplify right side
    108,831,133.13x = 27,692,922,749,773,672
  5. Step 5: Solve for x
    x = 27,692,922,749,773,672/108,831,133.13
  6. Step 6: Final answer
    x = 254,457,726.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.