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Finding the Third Proportional to 205,356,875.75 and 484,284,244.75

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Solution

The third proportional to 205,356,875.75 and 484,284,244.75 is: 1,142,066,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,356,875.75 : 484,284,244.75 = 484,284,244.75 : x
  2. Step 2: Convert to fraction form
    205,356,875.75/484,284,244.75 = 484,284,244.75/x
  3. Step 3: Cross multiply
    205,356,875.75x = 484,284,244.75 × 484,284,244.75
  4. Step 4: Simplify right side
    205,356,875.75x = 234,531,229,713,077,888
  5. Step 5: Solve for x
    x = 234,531,229,713,077,888/205,356,875.75
  6. Step 6: Final answer
    x = 1,142,066,604.08

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