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Finding the Third Proportional to 149,318,761.50 and 325,990,210.50

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Solution

The third proportional to 149,318,761.50 and 325,990,210.50 is: 711,696,348.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,318,761.50 : 325,990,210.50 = 325,990,210.50 : x
  2. Step 2: Convert to fraction form
    149,318,761.50/325,990,210.50 = 325,990,210.50/x
  3. Step 3: Cross multiply
    149,318,761.50x = 325,990,210.50 × 325,990,210.50
  4. Step 4: Simplify right side
    149,318,761.50x = 106,269,617,341,834,304
  5. Step 5: Solve for x
    x = 106,269,617,341,834,304/149,318,761.50
  6. Step 6: Final answer
    x = 711,696,348.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.