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Finding the Third Proportional to 65,807.44 and 99,303.47

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Solution

The third proportional to 65,807.44 and 99,303.47 is: 149,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,807.44 : 99,303.47 = 99,303.47 : x
  2. Step 2: Convert to fraction form
    65,807.44/99,303.47 = 99,303.47/x
  3. Step 3: Cross multiply
    65,807.44x = 99,303.47 × 99,303.47
  4. Step 4: Simplify right side
    65,807.44x = 9,861,178,905.78
  5. Step 5: Solve for x
    x = 9,861,178,905.78/65,807.44
  6. Step 6: Final answer
    x = 149,849.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.