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Finding the Third Proportional to 100,056,174 and 216,813,558

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Solution

The third proportional to 100,056,174 and 216,813,558 is: 469,817,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,056,174 : 216,813,558 = 216,813,558 : x
  2. Step 2: Convert to fraction form
    100,056,174/216,813,558 = 216,813,558/x
  3. Step 3: Cross multiply
    100,056,174x = 216,813,558 × 216,813,558
  4. Step 4: Simplify right side
    100,056,174x = 47,008,118,932,619,360
  5. Step 5: Solve for x
    x = 47,008,118,932,619,360/100,056,174
  6. Step 6: Final answer
    x = 469,817,274.17

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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.