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Finding the Third Proportional to 93,213 and 144,598.50

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Solution

The third proportional to 93,213 and 144,598.50 is: 224,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,213 : 144,598.50 = 144,598.50 : x
  2. Step 2: Convert to fraction form
    93,213/144,598.50 = 144,598.50/x
  3. Step 3: Cross multiply
    93,213x = 144,598.50 × 144,598.50
  4. Step 4: Simplify right side
    93,213x = 20,908,726,202.25
  5. Step 5: Solve for x
    x = 20,908,726,202.25/93,213
  6. Step 6: Final answer
    x = 224,311.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.