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Finding the Third Proportional to 281,973,717 and 410,690,047.50

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Solution

The third proportional to 281,973,717 and 410,690,047.50 is: 598,163,250.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,973,717 : 410,690,047.50 = 410,690,047.50 : x
  2. Step 2: Convert to fraction form
    281,973,717/410,690,047.50 = 410,690,047.50/x
  3. Step 3: Cross multiply
    281,973,717x = 410,690,047.50 × 410,690,047.50
  4. Step 4: Simplify right side
    281,973,717x = 168,666,315,115,552,256
  5. Step 5: Solve for x
    x = 168,666,315,115,552,256/281,973,717
  6. Step 6: Final answer
    x = 598,163,250.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.