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Finding the Third Proportional to 45,518 and 99,024.50

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Solution

The third proportional to 45,518 and 99,024.50 is: 215,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,518 : 99,024.50 = 99,024.50 : x
  2. Step 2: Convert to fraction form
    45,518/99,024.50 = 99,024.50/x
  3. Step 3: Cross multiply
    45,518x = 99,024.50 × 99,024.50
  4. Step 4: Simplify right side
    45,518x = 9,805,851,600.25
  5. Step 5: Solve for x
    x = 9,805,851,600.25/45,518
  6. Step 6: Final answer
    x = 215,428.00

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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.