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Finding the Third Proportional to 147,224,325 and 309,678,834

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Solution

The third proportional to 147,224,325 and 309,678,834 is: 651,393,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,325 : 309,678,834 = 309,678,834 : x
  2. Step 2: Convert to fraction form
    147,224,325/309,678,834 = 309,678,834/x
  3. Step 3: Cross multiply
    147,224,325x = 309,678,834 × 309,678,834
  4. Step 4: Simplify right side
    147,224,325x = 95,900,980,227,599,552
  5. Step 5: Solve for x
    x = 95,900,980,227,599,552/147,224,325
  6. Step 6: Final answer
    x = 651,393,580.70

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.