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Finding the Third Proportional to 103,901.50 and 224,417

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Solution

The third proportional to 103,901.50 and 224,417 is: 484,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,901.50 : 224,417 = 224,417 : x
  2. Step 2: Convert to fraction form
    103,901.50/224,417 = 224,417/x
  3. Step 3: Cross multiply
    103,901.50x = 224,417 × 224,417
  4. Step 4: Simplify right side
    103,901.50x = 50,362,989,889
  5. Step 5: Solve for x
    x = 50,362,989,889/103,901.50
  6. Step 6: Final answer
    x = 484,718.60

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.