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Finding the Third Proportional to 106,032.16 and 219,445.45

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Solution

The third proportional to 106,032.16 and 219,445.45 is: 454,166.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032.16 : 219,445.45 = 219,445.45 : x
  2. Step 2: Convert to fraction form
    106,032.16/219,445.45 = 219,445.45/x
  3. Step 3: Cross multiply
    106,032.16x = 219,445.45 × 219,445.45
  4. Step 4: Simplify right side
    106,032.16x = 48,156,306,897.24
  5. Step 5: Solve for x
    x = 48,156,306,897.24/106,032.16
  6. Step 6: Final answer
    x = 454,166.97

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.