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Finding the Third Proportional to 204,657,424 and 314,890,704

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Solution

The third proportional to 204,657,424 and 314,890,704 is: 484,498,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657,424 : 314,890,704 = 314,890,704 : x
  2. Step 2: Convert to fraction form
    204,657,424/314,890,704 = 314,890,704/x
  3. Step 3: Cross multiply
    204,657,424x = 314,890,704 × 314,890,704
  4. Step 4: Simplify right side
    204,657,424x = 99,156,155,465,615,616
  5. Step 5: Solve for x
    x = 99,156,155,465,615,616/204,657,424
  6. Step 6: Final answer
    x = 484,498,209.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.