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Finding the Third Proportional to 103,347.56 and 155,022.19

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Solution

The third proportional to 103,347.56 and 155,022.19 is: 232,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,347.56 : 155,022.19 = 155,022.19 : x
  2. Step 2: Convert to fraction form
    103,347.56/155,022.19 = 155,022.19/x
  3. Step 3: Cross multiply
    103,347.56x = 155,022.19 × 155,022.19
  4. Step 4: Simplify right side
    103,347.56x = 24,031,878,617.29
  5. Step 5: Solve for x
    x = 24,031,878,617.29/103,347.56
  6. Step 6: Final answer
    x = 232,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.