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Finding the Third Proportional to 151,043,724.75 and 325,328,766.75

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Solution

The third proportional to 151,043,724.75 and 325,328,766.75 is: 700,716,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,043,724.75 : 325,328,766.75 = 325,328,766.75 : x
  2. Step 2: Convert to fraction form
    151,043,724.75/325,328,766.75 = 325,328,766.75/x
  3. Step 3: Cross multiply
    151,043,724.75x = 325,328,766.75 × 325,328,766.75
  4. Step 4: Simplify right side
    151,043,724.75x = 105,838,806,475,075,904
  5. Step 5: Solve for x
    x = 105,838,806,475,075,904/151,043,724.75
  6. Step 6: Final answer
    x = 700,716,343.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.