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Finding the Third Proportional to 100,456.88 and 147,404.81

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Solution

The third proportional to 100,456.88 and 147,404.81 is: 216,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456.88 : 147,404.81 = 147,404.81 : x
  2. Step 2: Convert to fraction form
    100,456.88/147,404.81 = 147,404.81/x
  3. Step 3: Cross multiply
    100,456.88x = 147,404.81 × 147,404.81
  4. Step 4: Simplify right side
    100,456.88x = 21,728,178,748.16
  5. Step 5: Solve for x
    x = 21,728,178,748.16/100,456.88
  6. Step 6: Final answer
    x = 216,293.60

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.