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Finding the Third Proportional to 256,553,974.50 and 560,151,412.50

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Solution

The third proportional to 256,553,974.50 and 560,151,412.50 is: 1,223,015,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,553,974.50 : 560,151,412.50 = 560,151,412.50 : x
  2. Step 2: Convert to fraction form
    256,553,974.50/560,151,412.50 = 560,151,412.50/x
  3. Step 3: Cross multiply
    256,553,974.50x = 560,151,412.50 × 560,151,412.50
  4. Step 4: Simplify right side
    256,553,974.50x = 313,769,604,925,745,152
  5. Step 5: Solve for x
    x = 313,769,604,925,745,152/256,553,974.50
  6. Step 6: Final answer
    x = 1,223,015,958.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.