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Finding the Third Proportional to 108,943,321.50 and 233,428,815

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Solution

The third proportional to 108,943,321.50 and 233,428,815 is: 500,159,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,943,321.50 : 233,428,815 = 233,428,815 : x
  2. Step 2: Convert to fraction form
    108,943,321.50/233,428,815 = 233,428,815/x
  3. Step 3: Cross multiply
    108,943,321.50x = 233,428,815 × 233,428,815
  4. Step 4: Simplify right side
    108,943,321.50x = 54,489,011,672,304,224
  5. Step 5: Solve for x
    x = 54,489,011,672,304,224/108,943,321.50
  6. Step 6: Final answer
    x = 500,159,265.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.