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Finding the Third Proportional to 129,106.50 and 199,411.50

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Solution

The third proportional to 129,106.50 and 199,411.50 is: 308,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,106.50 : 199,411.50 = 199,411.50 : x
  2. Step 2: Convert to fraction form
    129,106.50/199,411.50 = 199,411.50/x
  3. Step 3: Cross multiply
    129,106.50x = 199,411.50 × 199,411.50
  4. Step 4: Simplify right side
    129,106.50x = 39,764,946,332.25
  5. Step 5: Solve for x
    x = 39,764,946,332.25/129,106.50
  6. Step 6: Final answer
    x = 308,001.12

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.