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Finding the Third Proportional to 156,244,140 and 330,202,944

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Solution

The third proportional to 156,244,140 and 330,202,944 is: 697,843,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,244,140 : 330,202,944 = 330,202,944 : x
  2. Step 2: Convert to fraction form
    156,244,140/330,202,944 = 330,202,944/x
  3. Step 3: Cross multiply
    156,244,140x = 330,202,944 × 330,202,944
  4. Step 4: Simplify right side
    156,244,140x = 109,033,984,226,267,136
  5. Step 5: Solve for x
    x = 109,033,984,226,267,136/156,244,140
  6. Step 6: Final answer
    x = 697,843,670.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.