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Finding the Third Proportional to 44,606.95 and 96,177.38

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Solution

The third proportional to 44,606.95 and 96,177.38 is: 207,368.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,606.95 : 96,177.38 = 96,177.38 : x
  2. Step 2: Convert to fraction form
    44,606.95/96,177.38 = 96,177.38/x
  3. Step 3: Cross multiply
    44,606.95x = 96,177.38 × 96,177.38
  4. Step 4: Simplify right side
    44,606.95x = 9,250,087,461.89
  5. Step 5: Solve for x
    x = 9,250,087,461.89/44,606.95
  6. Step 6: Final answer
    x = 207,368.74

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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.