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Finding the Third Proportional to 233,824,578.19 and 326,900,518.88

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Solution

The third proportional to 233,824,578.19 and 326,900,518.88 is: 457,026,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,824,578.19 : 326,900,518.88 = 326,900,518.88 : x
  2. Step 2: Convert to fraction form
    233,824,578.19/326,900,518.88 = 326,900,518.88/x
  3. Step 3: Cross multiply
    233,824,578.19x = 326,900,518.88 × 326,900,518.88
  4. Step 4: Simplify right side
    233,824,578.19x = 106,863,949,240,744,224
  5. Step 5: Solve for x
    x = 106,863,949,240,744,224/233,824,578.19
  6. Step 6: Final answer
    x = 457,026,160.68

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