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Finding the Third Proportional to 153,906,451,035 and 330,975,293,709

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Solution

The third proportional to 153,906,451,035 and 330,975,293,709 is: 711,761,230,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,906,451,035 : 330,975,293,709 = 330,975,293,709 : x
  2. Step 2: Convert to fraction form
    153,906,451,035/330,975,293,709 = 330,975,293,709/x
  3. Step 3: Cross multiply
    153,906,451,035x = 330,975,293,709 × 330,975,293,709
  4. Step 4: Simplify right side
    153,906,451,035x = 109,544,645,045,758,820,614,144
  5. Step 5: Solve for x
    x = 109,544,645,045,758,820,614,144/153,906,451,035
  6. Step 6: Final answer
    x = 711,761,230,988.60

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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.