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Finding the Third Proportional to 41,398,668 and 90,316,853.50

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Solution

The third proportional to 41,398,668 and 90,316,853.50 is: 197,038,562.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,398,668 : 90,316,853.50 = 90,316,853.50 : x
  2. Step 2: Convert to fraction form
    41,398,668/90,316,853.50 = 90,316,853.50/x
  3. Step 3: Cross multiply
    41,398,668x = 90,316,853.50 × 90,316,853.50
  4. Step 4: Simplify right side
    41,398,668x = 8,157,134,026,140,462
  5. Step 5: Solve for x
    x = 8,157,134,026,140,462/41,398,668
  6. Step 6: Final answer
    x = 197,038,562.36

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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.