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Finding the Third Proportional to 85,387,005 and 187,228,998

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Solution

The third proportional to 85,387,005 and 187,228,998 is: 410,539,023.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,387,005 : 187,228,998 = 187,228,998 : x
  2. Step 2: Convert to fraction form
    85,387,005/187,228,998 = 187,228,998/x
  3. Step 3: Cross multiply
    85,387,005x = 187,228,998 × 187,228,998
  4. Step 4: Simplify right side
    85,387,005x = 35,054,697,692,084,004
  5. Step 5: Solve for x
    x = 35,054,697,692,084,004/85,387,005
  6. Step 6: Final answer
    x = 410,539,023.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.