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Finding the Third Proportional to 152,148.38 and 219,155.63

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Solution

The third proportional to 152,148.38 and 219,155.63 is: 315,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,148.38 : 219,155.63 = 219,155.63 : x
  2. Step 2: Convert to fraction form
    152,148.38/219,155.63 = 219,155.63/x
  3. Step 3: Cross multiply
    152,148.38x = 219,155.63 × 219,155.63
  4. Step 4: Simplify right side
    152,148.38x = 48,029,187,969.14
  5. Step 5: Solve for x
    x = 48,029,187,969.14/152,148.38
  6. Step 6: Final answer
    x = 315,673.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.