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Finding the Third Proportional to 137,755,284 and 302,380,032

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Solution

The third proportional to 137,755,284 and 302,380,032 is: 663,739,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755,284 : 302,380,032 = 302,380,032 : x
  2. Step 2: Convert to fraction form
    137,755,284/302,380,032 = 302,380,032/x
  3. Step 3: Cross multiply
    137,755,284x = 302,380,032 × 302,380,032
  4. Step 4: Simplify right side
    137,755,284x = 91,433,683,752,321,024
  5. Step 5: Solve for x
    x = 91,433,683,752,321,024/137,755,284
  6. Step 6: Final answer
    x = 663,739,938.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.