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Finding the Third Proportional to 71,338,778.16 and 109,311,078.23

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Solution

The third proportional to 71,338,778.16 and 109,311,078.23 is: 167,495,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,338,778.16 : 109,311,078.23 = 109,311,078.23 : x
  2. Step 2: Convert to fraction form
    71,338,778.16/109,311,078.23 = 109,311,078.23/x
  3. Step 3: Cross multiply
    71,338,778.16x = 109,311,078.23 × 109,311,078.23
  4. Step 4: Simplify right side
    71,338,778.16x = 11,948,911,824,760,558
  5. Step 5: Solve for x
    x = 11,948,911,824,760,558/71,338,778.16
  6. Step 6: Final answer
    x = 167,495,324.89

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.