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Finding the Third Proportional to 91,312.31 and 200,136.94

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Solution

The third proportional to 91,312.31 and 200,136.94 is: 438,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,312.31 : 200,136.94 = 200,136.94 : x
  2. Step 2: Convert to fraction form
    91,312.31/200,136.94 = 200,136.94/x
  3. Step 3: Cross multiply
    91,312.31x = 200,136.94 × 200,136.94
  4. Step 4: Simplify right side
    91,312.31x = 40,054,793,751.88
  5. Step 5: Solve for x
    x = 40,054,793,751.88/91,312.31
  6. Step 6: Final answer
    x = 438,657.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.