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Finding the Third Proportional to 46,955.25 and 101,875.50

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Solution

The third proportional to 46,955.25 and 101,875.50 is: 221,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,955.25 : 101,875.50 = 101,875.50 : x
  2. Step 2: Convert to fraction form
    46,955.25/101,875.50 = 101,875.50/x
  3. Step 3: Cross multiply
    46,955.25x = 101,875.50 × 101,875.50
  4. Step 4: Simplify right side
    46,955.25x = 10,378,617,500.25
  5. Step 5: Solve for x
    x = 10,378,617,500.25/46,955.25
  6. Step 6: Final answer
    x = 221,032.10

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.