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Finding the Third Proportional to 151,328,292 and 325,865,688

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Solution

The third proportional to 151,328,292 and 325,865,688 is: 701,709,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,328,292 : 325,865,688 = 325,865,688 : x
  2. Step 2: Convert to fraction form
    151,328,292/325,865,688 = 325,865,688/x
  3. Step 3: Cross multiply
    151,328,292x = 325,865,688 × 325,865,688
  4. Step 4: Simplify right side
    151,328,292x = 106,188,446,615,713,344
  5. Step 5: Solve for x
    x = 106,188,446,615,713,344/151,328,292
  6. Step 6: Final answer
    x = 701,709,146.47

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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.