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Finding the Third Proportional to 96,539.63 and 207,607.50

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Solution

The third proportional to 96,539.63 and 207,607.50 is: 446,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,539.63 : 207,607.50 = 207,607.50 : x
  2. Step 2: Convert to fraction form
    96,539.63/207,607.50 = 207,607.50/x
  3. Step 3: Cross multiply
    96,539.63x = 207,607.50 × 207,607.50
  4. Step 4: Simplify right side
    96,539.63x = 43,100,874,056.25
  5. Step 5: Solve for x
    x = 43,100,874,056.25/96,539.63
  6. Step 6: Final answer
    x = 446,457.86

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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.