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Finding the Third Proportional to 101,176,816.50 and 217,698,961.50

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Solution

The third proportional to 101,176,816.50 and 217,698,961.50 is: 468,415,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,176,816.50 : 217,698,961.50 = 217,698,961.50 : x
  2. Step 2: Convert to fraction form
    101,176,816.50/217,698,961.50 = 217,698,961.50/x
  3. Step 3: Cross multiply
    101,176,816.50x = 217,698,961.50 × 217,698,961.50
  4. Step 4: Simplify right side
    101,176,816.50x = 47,392,837,838,178,480
  5. Step 5: Solve for x
    x = 47,392,837,838,178,480/101,176,816.50
  6. Step 6: Final answer
    x = 468,415,981.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.