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Finding the Third Proportional to 72,623,732 and 156,724,200

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Solution

The third proportional to 72,623,732 and 156,724,200 is: 338,215,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623,732 : 156,724,200 = 156,724,200 : x
  2. Step 2: Convert to fraction form
    72,623,732/156,724,200 = 156,724,200/x
  3. Step 3: Cross multiply
    72,623,732x = 156,724,200 × 156,724,200
  4. Step 4: Simplify right side
    72,623,732x = 24,562,474,865,640,000
  5. Step 5: Solve for x
    x = 24,562,474,865,640,000/72,623,732
  6. Step 6: Final answer
    x = 338,215,541.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.