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Finding the Third Proportional to 98,478.75 and 143,411.50

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Solution

The third proportional to 98,478.75 and 143,411.50 is: 208,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,478.75 : 143,411.50 = 143,411.50 : x
  2. Step 2: Convert to fraction form
    98,478.75/143,411.50 = 143,411.50/x
  3. Step 3: Cross multiply
    98,478.75x = 143,411.50 × 143,411.50
  4. Step 4: Simplify right side
    98,478.75x = 20,566,858,332.25
  5. Step 5: Solve for x
    x = 20,566,858,332.25/98,478.75
  6. Step 6: Final answer
    x = 208,845.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.