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Finding the Third Proportional to 98,575.13 and 154,432.13

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Solution

The third proportional to 98,575.13 and 154,432.13 is: 241,940.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,575.13 : 154,432.13 = 154,432.13 : x
  2. Step 2: Convert to fraction form
    98,575.13/154,432.13 = 154,432.13/x
  3. Step 3: Cross multiply
    98,575.13x = 154,432.13 × 154,432.13
  4. Step 4: Simplify right side
    98,575.13x = 23,849,281,232.02
  5. Step 5: Solve for x
    x = 23,849,281,232.02/98,575.13
  6. Step 6: Final answer
    x = 241,940.16

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.