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Finding the Third Proportional to 93,798.95 and 205,113.83

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Solution

The third proportional to 93,798.95 and 205,113.83 is: 448,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,798.95 : 205,113.83 = 205,113.83 : x
  2. Step 2: Convert to fraction form
    93,798.95/205,113.83 = 205,113.83/x
  3. Step 3: Cross multiply
    93,798.95x = 205,113.83 × 205,113.83
  4. Step 4: Simplify right side
    93,798.95x = 42,071,684,090.54
  5. Step 5: Solve for x
    x = 42,071,684,090.54/93,798.95
  6. Step 6: Final answer
    x = 448,530.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.