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Finding the Third Proportional to 45,322.88 and 97,852.13

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Solution

The third proportional to 45,322.88 and 97,852.13 is: 211,262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,322.88 : 97,852.13 = 97,852.13 : x
  2. Step 2: Convert to fraction form
    45,322.88/97,852.13 = 97,852.13/x
  3. Step 3: Cross multiply
    45,322.88x = 97,852.13 × 97,852.13
  4. Step 4: Simplify right side
    45,322.88x = 9,575,038,367.02
  5. Step 5: Solve for x
    x = 9,575,038,367.02/45,322.88
  6. Step 6: Final answer
    x = 211,262.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.