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Finding the Third Proportional to 151,661,263 and 326,683,783

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Solution

The third proportional to 151,661,263 and 326,683,783 is: 703,688,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,661,263 : 326,683,783 = 326,683,783 : x
  2. Step 2: Convert to fraction form
    151,661,263/326,683,783 = 326,683,783/x
  3. Step 3: Cross multiply
    151,661,263x = 326,683,783 × 326,683,783
  4. Step 4: Simplify right side
    151,661,263x = 106,722,294,075,191,088
  5. Step 5: Solve for x
    x = 106,722,294,075,191,088/151,661,263
  6. Step 6: Final answer
    x = 703,688,548.84

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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.