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Finding the Third Proportional to 90,099 and 147,946.50

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Solution

The third proportional to 90,099 and 147,946.50 is: 242,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,099 : 147,946.50 = 147,946.50 : x
  2. Step 2: Convert to fraction form
    90,099/147,946.50 = 147,946.50/x
  3. Step 3: Cross multiply
    90,099x = 147,946.50 × 147,946.50
  4. Step 4: Simplify right side
    90,099x = 21,888,166,862.25
  5. Step 5: Solve for x
    x = 21,888,166,862.25/90,099
  6. Step 6: Final answer
    x = 242,934.63

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.