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Finding the Third Proportional to 243,198,424.50 and 376,430,290.50

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Solution

The third proportional to 243,198,424.50 and 376,430,290.50 is: 582,650,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,198,424.50 : 376,430,290.50 = 376,430,290.50 : x
  2. Step 2: Convert to fraction form
    243,198,424.50/376,430,290.50 = 376,430,290.50/x
  3. Step 3: Cross multiply
    243,198,424.50x = 376,430,290.50 × 376,430,290.50
  4. Step 4: Simplify right side
    243,198,424.50x = 141,699,763,605,914,384
  5. Step 5: Solve for x
    x = 141,699,763,605,914,384/243,198,424.50
  6. Step 6: Final answer
    x = 582,650,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.