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Finding the Third Proportional to 97,777.13 and 235,472.63

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Solution

The third proportional to 97,777.13 and 235,472.63 is: 567,079.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,777.13 : 235,472.63 = 235,472.63 : x
  2. Step 2: Convert to fraction form
    97,777.13/235,472.63 = 235,472.63/x
  3. Step 3: Cross multiply
    97,777.13x = 235,472.63 × 235,472.63
  4. Step 4: Simplify right side
    97,777.13x = 55,447,357,124.39
  5. Step 5: Solve for x
    x = 55,447,357,124.39/97,777.13
  6. Step 6: Final answer
    x = 567,079.03

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.