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Finding the Third Proportional to 97,483.50 and 207,265.50

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Solution

The third proportional to 97,483.50 and 207,265.50 is: 440,679.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.50 : 207,265.50 = 207,265.50 : x
  2. Step 2: Convert to fraction form
    97,483.50/207,265.50 = 207,265.50/x
  3. Step 3: Cross multiply
    97,483.50x = 207,265.50 × 207,265.50
  4. Step 4: Simplify right side
    97,483.50x = 42,958,987,490.25
  5. Step 5: Solve for x
    x = 42,958,987,490.25/97,483.50
  6. Step 6: Final answer
    x = 440,679.58

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.