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Finding the Third Proportional to 103,814.16 and 148,453.17

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Solution

The third proportional to 103,814.16 and 148,453.17 is: 212,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,814.16 : 148,453.17 = 148,453.17 : x
  2. Step 2: Convert to fraction form
    103,814.16/148,453.17 = 148,453.17/x
  3. Step 3: Cross multiply
    103,814.16x = 148,453.17 × 148,453.17
  4. Step 4: Simplify right side
    103,814.16x = 22,038,344,239.75
  5. Step 5: Solve for x
    x = 22,038,344,239.75/103,814.16
  6. Step 6: Final answer
    x = 212,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.