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Finding the Third Proportional to 234,173,971,998 and 315,955,670,997

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Solution

The third proportional to 234,173,971,998 and 315,955,670,997 is: 426,298,384,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,173,971,998 : 315,955,670,997 = 315,955,670,997 : x
  2. Step 2: Convert to fraction form
    234,173,971,998/315,955,670,997 = 315,955,670,997/x
  3. Step 3: Cross multiply
    234,173,971,998x = 315,955,670,997 × 315,955,670,997
  4. Step 4: Simplify right side
    234,173,971,998x = 99,827,986,035,164,500,197,376
  5. Step 5: Solve for x
    x = 99,827,986,035,164,500,197,376/234,173,971,998
  6. Step 6: Final answer
    x = 426,298,384,843.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.