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Finding the Third Proportional to 147,224,388 and 309,678,972

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Solution

The third proportional to 147,224,388 and 309,678,972 is: 651,393,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,388 : 309,678,972 = 309,678,972 : x
  2. Step 2: Convert to fraction form
    147,224,388/309,678,972 = 309,678,972/x
  3. Step 3: Cross multiply
    147,224,388x = 309,678,972 × 309,678,972
  4. Step 4: Simplify right side
    147,224,388x = 95,901,065,698,976,784
  5. Step 5: Solve for x
    x = 95,901,065,698,976,784/147,224,388
  6. Step 6: Final answer
    x = 651,393,882.51

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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.