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Finding the Third Proportional to 99,470,607 and 214,057,761

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Solution

The third proportional to 99,470,607 and 214,057,761 is: 460,645,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,607 : 214,057,761 = 214,057,761 : x
  2. Step 2: Convert to fraction form
    99,470,607/214,057,761 = 214,057,761/x
  3. Step 3: Cross multiply
    99,470,607x = 214,057,761 × 214,057,761
  4. Step 4: Simplify right side
    99,470,607x = 45,820,725,044,333,120
  5. Step 5: Solve for x
    x = 45,820,725,044,333,120/99,470,607
  6. Step 6: Final answer
    x = 460,645,877.47

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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.