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Finding the Third Proportional to 204,657,430 and 314,890,713

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Solution

The third proportional to 204,657,430 and 314,890,713 is: 484,498,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,657,430 : 314,890,713 = 314,890,713 : x
  2. Step 2: Convert to fraction form
    204,657,430/314,890,713 = 314,890,713/x
  3. Step 3: Cross multiply
    204,657,430x = 314,890,713 × 314,890,713
  4. Step 4: Simplify right side
    204,657,430x = 99,156,161,133,648,368
  5. Step 5: Solve for x
    x = 99,156,161,133,648,368/204,657,430
  6. Step 6: Final answer
    x = 484,498,222.88

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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.