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Finding the Third Proportional to 205,356,904 and 484,284,303

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Solution

The third proportional to 205,356,904 and 484,284,303 is: 1,142,066,721.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,356,904 : 484,284,303 = 484,284,303 : x
  2. Step 2: Convert to fraction form
    205,356,904/484,284,303 = 484,284,303/x
  3. Step 3: Cross multiply
    205,356,904x = 484,284,303 × 484,284,303
  4. Step 4: Simplify right side
    205,356,904x = 234,531,286,132,195,808
  5. Step 5: Solve for x
    x = 234,531,286,132,195,808/205,356,904
  6. Step 6: Final answer
    x = 1,142,066,721.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.