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Finding the Third Proportional to 99,470,640 and 214,057,830

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Solution

The third proportional to 99,470,640 and 214,057,830 is: 460,646,021.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,640 : 214,057,830 = 214,057,830 : x
  2. Step 2: Convert to fraction form
    99,470,640/214,057,830 = 214,057,830/x
  3. Step 3: Cross multiply
    99,470,640x = 214,057,830 × 214,057,830
  4. Step 4: Simplify right side
    99,470,640x = 45,820,754,584,308,896
  5. Step 5: Solve for x
    x = 45,820,754,584,308,896/99,470,640
  6. Step 6: Final answer
    x = 460,646,021.62

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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.