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Finding the Third Proportional to 93,350.50 and 147,316

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Solution

The third proportional to 93,350.50 and 147,316 is: 232,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,350.50 : 147,316 = 147,316 : x
  2. Step 2: Convert to fraction form
    93,350.50/147,316 = 147,316/x
  3. Step 3: Cross multiply
    93,350.50x = 147,316 × 147,316
  4. Step 4: Simplify right side
    93,350.50x = 21,702,003,856
  5. Step 5: Solve for x
    x = 21,702,003,856/93,350.50
  6. Step 6: Final answer
    x = 232,478.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.