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Finding the Third Proportional to 108,105,816 and 233,217,717

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Solution

The third proportional to 108,105,816 and 233,217,717 is: 503,122,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,105,816 : 233,217,717 = 233,217,717 : x
  2. Step 2: Convert to fraction form
    108,105,816/233,217,717 = 233,217,717/x
  3. Step 3: Cross multiply
    108,105,816x = 233,217,717 × 233,217,717
  4. Step 4: Simplify right side
    108,105,816x = 54,390,503,522,692,088
  5. Step 5: Solve for x
    x = 54,390,503,522,692,088/108,105,816
  6. Step 6: Final answer
    x = 503,122,824.80

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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.