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Finding the Third Proportional to 96,307.31 and 207,437.63

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Solution

The third proportional to 96,307.31 and 207,437.63 is: 446,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,307.31 : 207,437.63 = 207,437.63 : x
  2. Step 2: Convert to fraction form
    96,307.31/207,437.63 = 207,437.63/x
  3. Step 3: Cross multiply
    96,307.31x = 207,437.63 × 207,437.63
  4. Step 4: Simplify right side
    96,307.31x = 43,030,368,265.64
  5. Step 5: Solve for x
    x = 43,030,368,265.64/96,307.31
  6. Step 6: Final answer
    x = 446,802.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.