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Finding the Third Proportional to 156,952,971 and 366,596,285.06

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Solution

The third proportional to 156,952,971 and 366,596,285.06 is: 856,261,817.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952,971 : 366,596,285.06 = 366,596,285.06 : x
  2. Step 2: Convert to fraction form
    156,952,971/366,596,285.06 = 366,596,285.06/x
  3. Step 3: Cross multiply
    156,952,971x = 366,596,285.06 × 366,596,285.06
  4. Step 4: Simplify right side
    156,952,971x = 134,392,836,221,625,760
  5. Step 5: Solve for x
    x = 134,392,836,221,625,760/156,952,971
  6. Step 6: Final answer
    x = 856,261,817.57

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.