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Finding the Third Proportional to 45,802.50 and 100,461

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Solution

The third proportional to 45,802.50 and 100,461 is: 220,346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,802.50 : 100,461 = 100,461 : x
  2. Step 2: Convert to fraction form
    45,802.50/100,461 = 100,461/x
  3. Step 3: Cross multiply
    45,802.50x = 100,461 × 100,461
  4. Step 4: Simplify right side
    45,802.50x = 10,092,412,521
  5. Step 5: Solve for x
    x = 10,092,412,521/45,802.50
  6. Step 6: Final answer
    x = 220,346.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.