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Finding the Third Proportional to 99,792,400 and 214,984,736

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Solution

The third proportional to 99,792,400 and 214,984,736 is: 463,145,857.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792,400 : 214,984,736 = 214,984,736 : x
  2. Step 2: Convert to fraction form
    99,792,400/214,984,736 = 214,984,736/x
  3. Step 3: Cross multiply
    99,792,400x = 214,984,736 × 214,984,736
  4. Step 4: Simplify right side
    99,792,400x = 46,218,436,712,989,696
  5. Step 5: Solve for x
    x = 46,218,436,712,989,696/99,792,400
  6. Step 6: Final answer
    x = 463,145,857.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.