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Finding the Third Proportional to 95,531,772 and 208,949,832

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Solution

The third proportional to 95,531,772 and 208,949,832 is: 457,021,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,531,772 : 208,949,832 = 208,949,832 : x
  2. Step 2: Convert to fraction form
    95,531,772/208,949,832 = 208,949,832/x
  3. Step 3: Cross multiply
    95,531,772x = 208,949,832 × 208,949,832
  4. Step 4: Simplify right side
    95,531,772x = 43,660,032,292,828,224
  5. Step 5: Solve for x
    x = 43,660,032,292,828,224/95,531,772
  6. Step 6: Final answer
    x = 457,021,066.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.