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Finding the Third Proportional to 97,032.94 and 147,299.77

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Solution

The third proportional to 97,032.94 and 147,299.77 is: 223,606.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,032.94 : 147,299.77 = 147,299.77 : x
  2. Step 2: Convert to fraction form
    97,032.94/147,299.77 = 147,299.77/x
  3. Step 3: Cross multiply
    97,032.94x = 147,299.77 × 147,299.77
  4. Step 4: Simplify right side
    97,032.94x = 21,697,220,953.18
  5. Step 5: Solve for x
    x = 21,697,220,953.18/97,032.94
  6. Step 6: Final answer
    x = 223,606.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.