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Finding the Third Proportional to 99,470,648.25 and 214,057,845

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Solution

The third proportional to 99,470,648.25 and 214,057,845 is: 460,646,047.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,648.25 : 214,057,845 = 214,057,845 : x
  2. Step 2: Convert to fraction form
    99,470,648.25/214,057,845 = 214,057,845/x
  3. Step 3: Cross multiply
    99,470,648.25x = 214,057,845 × 214,057,845
  4. Step 4: Simplify right side
    99,470,648.25x = 45,820,761,006,044,024
  5. Step 5: Solve for x
    x = 45,820,761,006,044,024/99,470,648.25
  6. Step 6: Final answer
    x = 460,646,047.98

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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.