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Finding the Third Proportional to 134,504,563.50 and 219,633,817.50

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Solution

The third proportional to 134,504,563.50 and 219,633,817.50 is: 358,642,209.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,504,563.50 : 219,633,817.50 = 219,633,817.50 : x
  2. Step 2: Convert to fraction form
    134,504,563.50/219,633,817.50 = 219,633,817.50/x
  3. Step 3: Cross multiply
    134,504,563.50x = 219,633,817.50 × 219,633,817.50
  4. Step 4: Simplify right side
    134,504,563.50x = 48,239,013,789,623,304
  5. Step 5: Solve for x
    x = 48,239,013,789,623,304/134,504,563.50
  6. Step 6: Final answer
    x = 358,642,209.11

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.