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Finding the Third Proportional to 91,038.38 and 198,752.63

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Solution

The third proportional to 91,038.38 and 198,752.63 is: 433,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,038.38 : 198,752.63 = 198,752.63 : x
  2. Step 2: Convert to fraction form
    91,038.38/198,752.63 = 198,752.63/x
  3. Step 3: Cross multiply
    91,038.38x = 198,752.63 × 198,752.63
  4. Step 4: Simplify right side
    91,038.38x = 39,502,605,944.39
  5. Step 5: Solve for x
    x = 39,502,605,944.39/91,038.38
  6. Step 6: Final answer
    x = 433,911.59

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Why These Related Problems?

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