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Finding the Third Proportional to 93,646.13 and 205,935.75

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Solution

The third proportional to 93,646.13 and 205,935.75 is: 452,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,646.13 : 205,935.75 = 205,935.75 : x
  2. Step 2: Convert to fraction form
    93,646.13/205,935.75 = 205,935.75/x
  3. Step 3: Cross multiply
    93,646.13x = 205,935.75 × 205,935.75
  4. Step 4: Simplify right side
    93,646.13x = 42,409,533,128.06
  5. Step 5: Solve for x
    x = 42,409,533,128.06/93,646.13
  6. Step 6: Final answer
    x = 452,870.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.