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Finding the Third Proportional to 99,904.50 and 155,275.50

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Solution

The third proportional to 99,904.50 and 155,275.50 is: 241,335.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,904.50 : 155,275.50 = 155,275.50 : x
  2. Step 2: Convert to fraction form
    99,904.50/155,275.50 = 155,275.50/x
  3. Step 3: Cross multiply
    99,904.50x = 155,275.50 × 155,275.50
  4. Step 4: Simplify right side
    99,904.50x = 24,110,480,900.25
  5. Step 5: Solve for x
    x = 24,110,480,900.25/99,904.50
  6. Step 6: Final answer
    x = 241,335.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.