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Finding the Third Proportional to 63,466.88 and 97,952.63

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Solution

The third proportional to 63,466.88 and 97,952.63 is: 151,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466.88 : 97,952.63 = 97,952.63 : x
  2. Step 2: Convert to fraction form
    63,466.88/97,952.63 = 97,952.63/x
  3. Step 3: Cross multiply
    63,466.88x = 97,952.63 × 97,952.63
  4. Step 4: Simplify right side
    63,466.88x = 9,594,716,744.39
  5. Step 5: Solve for x
    x = 9,594,716,744.39/63,466.88
  6. Step 6: Final answer
    x = 151,176.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.