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Finding the Third Proportional to 147,890,872.50 and 319,164,825

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Solution

The third proportional to 147,890,872.50 and 319,164,825 is: 688,792,917.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,890,872.50 : 319,164,825 = 319,164,825 : x
  2. Step 2: Convert to fraction form
    147,890,872.50/319,164,825 = 319,164,825/x
  3. Step 3: Cross multiply
    147,890,872.50x = 319,164,825 × 319,164,825
  4. Step 4: Simplify right side
    147,890,872.50x = 101,866,185,517,280,624
  5. Step 5: Solve for x
    x = 101,866,185,517,280,624/147,890,872.50
  6. Step 6: Final answer
    x = 688,792,917.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.