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Finding the Third Proportional to 108,105,765.75 and 233,217,643.50

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Solution

The third proportional to 108,105,765.75 and 233,217,643.50 is: 503,122,741.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,105,765.75 : 233,217,643.50 = 233,217,643.50 : x
  2. Step 2: Convert to fraction form
    108,105,765.75/233,217,643.50 = 233,217,643.50/x
  3. Step 3: Cross multiply
    108,105,765.75x = 233,217,643.50 × 233,217,643.50
  4. Step 4: Simplify right side
    108,105,765.75x = 54,390,469,239,693,096
  5. Step 5: Solve for x
    x = 54,390,469,239,693,096/108,105,765.75
  6. Step 6: Final answer
    x = 503,122,741.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.