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Finding the Third Proportional to 187,794,346.50 and 401,433,021

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Solution

The third proportional to 187,794,346.50 and 401,433,021 is: 858,111,404.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,794,346.50 : 401,433,021 = 401,433,021 : x
  2. Step 2: Convert to fraction form
    187,794,346.50/401,433,021 = 401,433,021/x
  3. Step 3: Cross multiply
    187,794,346.50x = 401,433,021 × 401,433,021
  4. Step 4: Simplify right side
    187,794,346.50x = 161,148,470,349,186,432
  5. Step 5: Solve for x
    x = 161,148,470,349,186,432/187,794,346.50
  6. Step 6: Final answer
    x = 858,111,404.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.