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Finding the Third Proportional to 233,824,747.50 and 326,900,776.50

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Solution

The third proportional to 233,824,747.50 and 326,900,776.50 is: 457,026,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,824,747.50 : 326,900,776.50 = 326,900,776.50 : x
  2. Step 2: Convert to fraction form
    233,824,747.50/326,900,776.50 = 326,900,776.50/x
  3. Step 3: Cross multiply
    233,824,747.50x = 326,900,776.50 × 326,900,776.50
  4. Step 4: Simplify right side
    233,824,747.50x = 106,864,117,676,302,960
  5. Step 5: Solve for x
    x = 106,864,117,676,302,960/233,824,747.50
  6. Step 6: Final answer
    x = 457,026,550.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.