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Finding the Third Proportional to 232,690,200.75 and 345,738,784.50

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Solution

The third proportional to 232,690,200.75 and 345,738,784.50 is: 513,710,103.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,690,200.75 : 345,738,784.50 = 345,738,784.50 : x
  2. Step 2: Convert to fraction form
    232,690,200.75/345,738,784.50 = 345,738,784.50/x
  3. Step 3: Cross multiply
    232,690,200.75x = 345,738,784.50 × 345,738,784.50
  4. Step 4: Simplify right side
    232,690,200.75x = 119,535,307,107,537,440
  5. Step 5: Solve for x
    x = 119,535,307,107,537,440/232,690,200.75
  6. Step 6: Final answer
    x = 513,710,103.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.