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Finding the Third Proportional to 63,381.38 and 97,430.63

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Solution

The third proportional to 63,381.38 and 97,430.63 is: 149,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,381.38 : 97,430.63 = 97,430.63 : x
  2. Step 2: Convert to fraction form
    63,381.38/97,430.63 = 97,430.63/x
  3. Step 3: Cross multiply
    63,381.38x = 97,430.63 × 97,430.63
  4. Step 4: Simplify right side
    63,381.38x = 9,492,726,687.89
  5. Step 5: Solve for x
    x = 9,492,726,687.89/63,381.38
  6. Step 6: Final answer
    x = 149,771.55

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