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Finding the Third Proportional to 209,242,058 and 287,232,219

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Solution

The third proportional to 209,242,058 and 287,232,219 is: 394,291,417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242,058 : 287,232,219 = 287,232,219 : x
  2. Step 2: Convert to fraction form
    209,242,058/287,232,219 = 287,232,219/x
  3. Step 3: Cross multiply
    209,242,058x = 287,232,219 × 287,232,219
  4. Step 4: Simplify right side
    209,242,058x = 82,502,347,631,663,968
  5. Step 5: Solve for x
    x = 82,502,347,631,663,968/209,242,058
  6. Step 6: Final answer
    x = 394,291,417.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.