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Finding the Third Proportional to 45,402 and 96,979.50

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Solution

The third proportional to 45,402 and 96,979.50 is: 207,149.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402 : 96,979.50 = 96,979.50 : x
  2. Step 2: Convert to fraction form
    45,402/96,979.50 = 96,979.50/x
  3. Step 3: Cross multiply
    45,402x = 96,979.50 × 96,979.50
  4. Step 4: Simplify right side
    45,402x = 9,405,023,420.25
  5. Step 5: Solve for x
    x = 9,405,023,420.25/45,402
  6. Step 6: Final answer
    x = 207,149.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.