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Finding the Third Proportional to 166,751,833.50 and 362,209,387.50

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Solution

The third proportional to 166,751,833.50 and 362,209,387.50 is: 786,771,801.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,751,833.50 : 362,209,387.50 = 362,209,387.50 : x
  2. Step 2: Convert to fraction form
    166,751,833.50/362,209,387.50 = 362,209,387.50/x
  3. Step 3: Cross multiply
    166,751,833.50x = 362,209,387.50 × 362,209,387.50
  4. Step 4: Simplify right side
    166,751,833.50x = 131,195,640,393,125,152
  5. Step 5: Solve for x
    x = 131,195,640,393,125,152/166,751,833.50
  6. Step 6: Final answer
    x = 786,771,801.18

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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.