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Finding the Third Proportional to 108,105,815 and 233,217,715

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Solution

The third proportional to 108,105,815 and 233,217,715 is: 503,122,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,105,815 : 233,217,715 = 233,217,715 : x
  2. Step 2: Convert to fraction form
    108,105,815/233,217,715 = 233,217,715/x
  3. Step 3: Cross multiply
    108,105,815x = 233,217,715 × 233,217,715
  4. Step 4: Simplify right side
    108,105,815x = 54,390,502,589,821,224
  5. Step 5: Solve for x
    x = 54,390,502,589,821,224/108,105,815
  6. Step 6: Final answer
    x = 503,122,820.82

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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.