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Finding the Third Proportional to 45,417.50 and 97,776.75

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Solution

The third proportional to 45,417.50 and 97,776.75 is: 210,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,417.50 : 97,776.75 = 97,776.75 : x
  2. Step 2: Convert to fraction form
    45,417.50/97,776.75 = 97,776.75/x
  3. Step 3: Cross multiply
    45,417.50x = 97,776.75 × 97,776.75
  4. Step 4: Simplify right side
    45,417.50x = 9,560,292,840.56
  5. Step 5: Solve for x
    x = 9,560,292,840.56/45,417.50
  6. Step 6: Final answer
    x = 210,498.00

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.