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Finding the Third Proportional to 41,102,255.25 and 89,440,132.50

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Solution

The third proportional to 41,102,255.25 and 89,440,132.50 is: 194,625,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,102,255.25 : 89,440,132.50 = 89,440,132.50 : x
  2. Step 2: Convert to fraction form
    41,102,255.25/89,440,132.50 = 89,440,132.50/x
  3. Step 3: Cross multiply
    41,102,255.25x = 89,440,132.50 × 89,440,132.50
  4. Step 4: Simplify right side
    41,102,255.25x = 7,999,537,301,617,556
  5. Step 5: Solve for x
    x = 7,999,537,301,617,556/41,102,255.25
  6. Step 6: Final answer
    x = 194,625,264.55

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