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Finding the Third Proportional to 99,925.50 and 214,095.50

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Solution

The third proportional to 99,925.50 and 214,095.50 is: 458,710.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925.50 : 214,095.50 = 214,095.50 : x
  2. Step 2: Convert to fraction form
    99,925.50/214,095.50 = 214,095.50/x
  3. Step 3: Cross multiply
    99,925.50x = 214,095.50 × 214,095.50
  4. Step 4: Simplify right side
    99,925.50x = 45,836,883,120.25
  5. Step 5: Solve for x
    x = 45,836,883,120.25/99,925.50
  6. Step 6: Final answer
    x = 458,710.57

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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.