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Finding the Third Proportional to 150,070,960 and 325,189,294

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Solution

The third proportional to 150,070,960 and 325,189,294 is: 704,653,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,070,960 : 325,189,294 = 325,189,294 : x
  2. Step 2: Convert to fraction form
    150,070,960/325,189,294 = 325,189,294/x
  3. Step 3: Cross multiply
    150,070,960x = 325,189,294 × 325,189,294
  4. Step 4: Simplify right side
    150,070,960x = 105,748,076,932,218,432
  5. Step 5: Solve for x
    x = 105,748,076,932,218,432/150,070,960
  6. Step 6: Final answer
    x = 704,653,831.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.