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Finding the Third Proportional to 97,368 and 147,103.50

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Solution

The third proportional to 97,368 and 147,103.50 is: 222,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,368 : 147,103.50 = 147,103.50 : x
  2. Step 2: Convert to fraction form
    97,368/147,103.50 = 147,103.50/x
  3. Step 3: Cross multiply
    97,368x = 147,103.50 × 147,103.50
  4. Step 4: Simplify right side
    97,368x = 21,639,439,712.25
  5. Step 5: Solve for x
    x = 21,639,439,712.25/97,368
  6. Step 6: Final answer
    x = 222,243.86

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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.