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Finding the Third Proportional to 97,548.47 and 213,737.63

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Solution

The third proportional to 97,548.47 and 213,737.63 is: 468,318.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,548.47 : 213,737.63 = 213,737.63 : x
  2. Step 2: Convert to fraction form
    97,548.47/213,737.63 = 213,737.63/x
  3. Step 3: Cross multiply
    97,548.47x = 213,737.63 × 213,737.63
  4. Step 4: Simplify right side
    97,548.47x = 45,683,772,340.64
  5. Step 5: Solve for x
    x = 45,683,772,340.64/97,548.47
  6. Step 6: Final answer
    x = 468,318.70

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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.