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Finding the Third Proportional to 234,173,971,986 and 315,955,670,980.50

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Solution

The third proportional to 234,173,971,986 and 315,955,670,980.50 is: 426,298,384,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,173,971,986 : 315,955,670,980.50 = 315,955,670,980.50 : x
  2. Step 2: Convert to fraction form
    234,173,971,986/315,955,670,980.50 = 315,955,670,980.50/x
  3. Step 3: Cross multiply
    234,173,971,986x = 315,955,670,980.50 × 315,955,670,980.50
  4. Step 4: Simplify right side
    234,173,971,986x = 99,827,986,024,737,963,769,856
  5. Step 5: Solve for x
    x = 99,827,986,024,737,963,769,856/234,173,971,986
  6. Step 6: Final answer
    x = 426,298,384,820.95

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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.