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Finding the Third Proportional to 102,194,466.75 and 221,638,619.25

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Solution

The third proportional to 102,194,466.75 and 221,638,619.25 is: 480,688,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,194,466.75 : 221,638,619.25 = 221,638,619.25 : x
  2. Step 2: Convert to fraction form
    102,194,466.75/221,638,619.25 = 221,638,619.25/x
  3. Step 3: Cross multiply
    102,194,466.75x = 221,638,619.25 × 221,638,619.25
  4. Step 4: Simplify right side
    102,194,466.75x = 49,123,677,543,046,472
  5. Step 5: Solve for x
    x = 49,123,677,543,046,472/102,194,466.75
  6. Step 6: Final answer
    x = 480,688,232.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.