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Finding the Third Proportional to 46,289.75 and 99,140.50

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Solution

The third proportional to 46,289.75 and 99,140.50 is: 212,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,289.75 : 99,140.50 = 99,140.50 : x
  2. Step 2: Convert to fraction form
    46,289.75/99,140.50 = 99,140.50/x
  3. Step 3: Cross multiply
    46,289.75x = 99,140.50 × 99,140.50
  4. Step 4: Simplify right side
    46,289.75x = 9,828,838,740.25
  5. Step 5: Solve for x
    x = 9,828,838,740.25/46,289.75
  6. Step 6: Final answer
    x = 212,332.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.