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Finding the Third Proportional to 94,686.47 and 219,220.17

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Solution

The third proportional to 94,686.47 and 219,220.17 is: 507,543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,686.47 : 219,220.17 = 219,220.17 : x
  2. Step 2: Convert to fraction form
    94,686.47/219,220.17 = 219,220.17/x
  3. Step 3: Cross multiply
    94,686.47x = 219,220.17 × 219,220.17
  4. Step 4: Simplify right side
    94,686.47x = 48,057,483,756.90
  5. Step 5: Solve for x
    x = 48,057,483,756.90/94,686.47
  6. Step 6: Final answer
    x = 507,543.31

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.