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Finding the Third Proportional to 98,212.50 and 215,541

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Solution

The third proportional to 98,212.50 and 215,541 is: 473,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,212.50 : 215,541 = 215,541 : x
  2. Step 2: Convert to fraction form
    98,212.50/215,541 = 215,541/x
  3. Step 3: Cross multiply
    98,212.50x = 215,541 × 215,541
  4. Step 4: Simplify right side
    98,212.50x = 46,457,922,681
  5. Step 5: Solve for x
    x = 46,457,922,681/98,212.50
  6. Step 6: Final answer
    x = 473,034.72

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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.