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Finding the Third Proportional to 71,683,935 and 157,302,462

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Solution

The third proportional to 71,683,935 and 157,302,462 is: 345,182,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,683,935 : 157,302,462 = 157,302,462 : x
  2. Step 2: Convert to fraction form
    71,683,935/157,302,462 = 157,302,462/x
  3. Step 3: Cross multiply
    71,683,935x = 157,302,462 × 157,302,462
  4. Step 4: Simplify right side
    71,683,935x = 24,744,064,551,261,444
  5. Step 5: Solve for x
    x = 24,744,064,551,261,444/71,683,935
  6. Step 6: Final answer
    x = 345,182,843.98

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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.