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Finding the Third Proportional to 99,470,646 and 214,057,840.50

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Solution

The third proportional to 99,470,646 and 214,057,840.50 is: 460,646,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,646 : 214,057,840.50 = 214,057,840.50 : x
  2. Step 2: Convert to fraction form
    99,470,646/214,057,840.50 = 214,057,840.50/x
  3. Step 3: Cross multiply
    99,470,646x = 214,057,840.50 × 214,057,840.50
  4. Step 4: Simplify right side
    99,470,646x = 45,820,759,079,523,440
  5. Step 5: Solve for x
    x = 45,820,759,079,523,440/99,470,646
  6. Step 6: Final answer
    x = 460,646,039.03

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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.