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Finding the Third Proportional to 97,261,840 and 210,663,728

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Solution

The third proportional to 97,261,840 and 210,663,728 is: 456,285,900.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,261,840 : 210,663,728 = 210,663,728 : x
  2. Step 2: Convert to fraction form
    97,261,840/210,663,728 = 210,663,728/x
  3. Step 3: Cross multiply
    97,261,840x = 210,663,728 × 210,663,728
  4. Step 4: Simplify right side
    97,261,840x = 44,379,206,294,857,984
  5. Step 5: Solve for x
    x = 44,379,206,294,857,984/97,261,840
  6. Step 6: Final answer
    x = 456,285,900.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.