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Finding the Third Proportional to 99,470,596 and 214,057,736

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Solution

The third proportional to 99,470,596 and 214,057,736 is: 460,645,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,596 : 214,057,736 = 214,057,736 : x
  2. Step 2: Convert to fraction form
    99,470,596/214,057,736 = 214,057,736/x
  3. Step 3: Cross multiply
    99,470,596x = 214,057,736 × 214,057,736
  4. Step 4: Simplify right side
    99,470,596x = 45,820,714,341,445,696
  5. Step 5: Solve for x
    x = 45,820,714,341,445,696/99,470,596
  6. Step 6: Final answer
    x = 460,645,820.82

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