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Finding the Third Proportional to 40,649.34 and 97,913.81

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Solution

The third proportional to 40,649.34 and 97,913.81 is: 235,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,649.34 : 97,913.81 = 97,913.81 : x
  2. Step 2: Convert to fraction form
    40,649.34/97,913.81 = 97,913.81/x
  3. Step 3: Cross multiply
    40,649.34x = 97,913.81 × 97,913.81
  4. Step 4: Simplify right side
    40,649.34x = 9,587,114,678.29
  5. Step 5: Solve for x
    x = 9,587,114,678.29/40,649.34
  6. Step 6: Final answer
    x = 235,849.19

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Why These Related Problems?

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