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Finding the Third Proportional to 97,463.25 and 147,602.25

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Solution

The third proportional to 97,463.25 and 147,602.25 is: 223,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,463.25 : 147,602.25 = 147,602.25 : x
  2. Step 2: Convert to fraction form
    97,463.25/147,602.25 = 147,602.25/x
  3. Step 3: Cross multiply
    97,463.25x = 147,602.25 × 147,602.25
  4. Step 4: Simplify right side
    97,463.25x = 21,786,424,205.06
  5. Step 5: Solve for x
    x = 21,786,424,205.06/97,463.25
  6. Step 6: Final answer
    x = 223,534.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.