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Finding the Third Proportional to 108,105,732 and 233,217,576

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Solution

The third proportional to 108,105,732 and 233,217,576 is: 503,122,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,105,732 : 233,217,576 = 233,217,576 : x
  2. Step 2: Convert to fraction form
    108,105,732/233,217,576 = 233,217,576/x
  3. Step 3: Cross multiply
    108,105,732x = 233,217,576 × 233,217,576
  4. Step 4: Simplify right side
    108,105,732x = 54,390,437,755,315,776
  5. Step 5: Solve for x
    x = 54,390,437,755,315,776/108,105,732
  6. Step 6: Final answer
    x = 503,122,607.37

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Why These Related Problems?

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