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Finding the Third Proportional to 97,348.50 and 215,831.25

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Solution

The third proportional to 97,348.50 and 215,831.25 is: 478,519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.50 : 215,831.25 = 215,831.25 : x
  2. Step 2: Convert to fraction form
    97,348.50/215,831.25 = 215,831.25/x
  3. Step 3: Cross multiply
    97,348.50x = 215,831.25 × 215,831.25
  4. Step 4: Simplify right side
    97,348.50x = 46,583,128,476.56
  5. Step 5: Solve for x
    x = 46,583,128,476.56/97,348.50
  6. Step 6: Final answer
    x = 478,519.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.