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Finding the Third Proportional to 42,654,728.46 and 91,879,811.16

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Solution

The third proportional to 42,654,728.46 and 91,879,811.16 is: 197,912,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,654,728.46 : 91,879,811.16 = 91,879,811.16 : x
  2. Step 2: Convert to fraction form
    42,654,728.46/91,879,811.16 = 91,879,811.16/x
  3. Step 3: Cross multiply
    42,654,728.46x = 91,879,811.16 × 91,879,811.16
  4. Step 4: Simplify right side
    42,654,728.46x = 8,441,899,698,108,162
  5. Step 5: Solve for x
    x = 8,441,899,698,108,162/42,654,728.46
  6. Step 6: Final answer
    x = 197,912,400.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.