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Finding the Third Proportional to 72,946,432 and 157,997,900

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Solution

The third proportional to 72,946,432 and 157,997,900 is: 342,214,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,432 : 157,997,900 = 157,997,900 : x
  2. Step 2: Convert to fraction form
    72,946,432/157,997,900 = 157,997,900/x
  3. Step 3: Cross multiply
    72,946,432x = 157,997,900 × 157,997,900
  4. Step 4: Simplify right side
    72,946,432x = 24,963,336,404,410,000
  5. Step 5: Solve for x
    x = 24,963,336,404,410,000/72,946,432
  6. Step 6: Final answer
    x = 342,214,632.30

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