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Finding the Third Proportional to 63,823.03 and 97,431.39

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Solution

The third proportional to 63,823.03 and 97,431.39 is: 148,737.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,823.03 : 97,431.39 = 97,431.39 : x
  2. Step 2: Convert to fraction form
    63,823.03/97,431.39 = 97,431.39/x
  3. Step 3: Cross multiply
    63,823.03x = 97,431.39 × 97,431.39
  4. Step 4: Simplify right side
    63,823.03x = 9,492,875,876.15
  5. Step 5: Solve for x
    x = 9,492,875,876.15/63,823.03
  6. Step 6: Final answer
    x = 148,737.46

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.