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Finding the Third Proportional to 145,119.09 and 224,148.52

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Solution

The third proportional to 145,119.09 and 224,148.52 is: 346,216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,119.09 : 224,148.52 = 224,148.52 : x
  2. Step 2: Convert to fraction form
    145,119.09/224,148.52 = 224,148.52/x
  3. Step 3: Cross multiply
    145,119.09x = 224,148.52 × 224,148.52
  4. Step 4: Simplify right side
    145,119.09x = 50,242,557,056.89
  5. Step 5: Solve for x
    x = 50,242,557,056.89/145,119.09
  6. Step 6: Final answer
    x = 346,216.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.