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Finding the Third Proportional to 233,150,215 and 482,807,904.50

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Solution

The third proportional to 233,150,215 and 482,807,904.50 is: 999,799,518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,215 : 482,807,904.50 = 482,807,904.50 : x
  2. Step 2: Convert to fraction form
    233,150,215/482,807,904.50 = 482,807,904.50/x
  3. Step 3: Cross multiply
    233,150,215x = 482,807,904.50 × 482,807,904.50
  4. Step 4: Simplify right side
    233,150,215x = 233,103,472,647,681,120
  5. Step 5: Solve for x
    x = 233,103,472,647,681,120/233,150,215
  6. Step 6: Final answer
    x = 999,799,518.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.