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Finding the Third Proportional to 103,480 and 221,721.50

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Solution

The third proportional to 103,480 and 221,721.50 is: 475,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,480 : 221,721.50 = 221,721.50 : x
  2. Step 2: Convert to fraction form
    103,480/221,721.50 = 221,721.50/x
  3. Step 3: Cross multiply
    103,480x = 221,721.50 × 221,721.50
  4. Step 4: Simplify right side
    103,480x = 49,160,423,562.25
  5. Step 5: Solve for x
    x = 49,160,423,562.25/103,480
  6. Step 6: Final answer
    x = 475,071.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.