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Finding the Third Proportional to 41,398,669 and 90,316,856

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Solution

The third proportional to 41,398,669 and 90,316,856 is: 197,038,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398,669 : 90,316,856 = 90,316,856 : x
  2. Step 2: Convert to fraction form
    41,398,669/90,316,856 = 90,316,856/x
  3. Step 3: Cross multiply
    41,398,669x = 90,316,856 × 90,316,856
  4. Step 4: Simplify right side
    41,398,669x = 8,157,134,477,724,736
  5. Step 5: Solve for x
    x = 8,157,134,477,724,736/41,398,669
  6. Step 6: Final answer
    x = 197,038,568.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.