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Finding the Third Proportional to 186,294,007.50 and 406,425,843

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Solution

The third proportional to 186,294,007.50 and 406,425,843 is: 886,673,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,007.50 : 406,425,843 = 406,425,843 : x
  2. Step 2: Convert to fraction form
    186,294,007.50/406,425,843 = 406,425,843/x
  3. Step 3: Cross multiply
    186,294,007.50x = 406,425,843 × 406,425,843
  4. Step 4: Simplify right side
    186,294,007.50x = 165,181,965,858,260,640
  5. Step 5: Solve for x
    x = 165,181,965,858,260,640/186,294,007.50
  6. Step 6: Final answer
    x = 886,673,533.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.