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Finding the Third Proportional to 156,316,504 and 334,145,420

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Solution

The third proportional to 156,316,504 and 334,145,420 is: 714,276,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,316,504 : 334,145,420 = 334,145,420 : x
  2. Step 2: Convert to fraction form
    156,316,504/334,145,420 = 334,145,420/x
  3. Step 3: Cross multiply
    156,316,504x = 334,145,420 × 334,145,420
  4. Step 4: Simplify right side
    156,316,504x = 111,653,161,706,976,400
  5. Step 5: Solve for x
    x = 111,653,161,706,976,400/156,316,504
  6. Step 6: Final answer
    x = 714,276,220.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.