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Finding the Third Proportional to 96,607.13 and 212,482.13

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Solution

The third proportional to 96,607.13 and 212,482.13 is: 467,342.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,607.13 : 212,482.13 = 212,482.13 : x
  2. Step 2: Convert to fraction form
    96,607.13/212,482.13 = 212,482.13/x
  3. Step 3: Cross multiply
    96,607.13x = 212,482.13 × 212,482.13
  4. Step 4: Simplify right side
    96,607.13x = 45,148,653,444.52
  5. Step 5: Solve for x
    x = 45,148,653,444.52/96,607.13
  6. Step 6: Final answer
    x = 467,342.89

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.