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Finding the Third Proportional to 44,931.38 and 97,790.63

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Solution

The third proportional to 44,931.38 and 97,790.63 is: 212,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,931.38 : 97,790.63 = 97,790.63 : x
  2. Step 2: Convert to fraction form
    44,931.38/97,790.63 = 97,790.63/x
  3. Step 3: Cross multiply
    44,931.38x = 97,790.63 × 97,790.63
  4. Step 4: Simplify right side
    44,931.38x = 9,563,006,337.89
  5. Step 5: Solve for x
    x = 9,563,006,337.89/44,931.38
  6. Step 6: Final answer
    x = 212,835.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.