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Finding the Third Proportional to 156,952,973.25 and 366,596,290.25

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Solution

The third proportional to 156,952,973.25 and 366,596,290.25 is: 856,261,829.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,952,973.25 : 366,596,290.25 = 366,596,290.25 : x
  2. Step 2: Convert to fraction form
    156,952,973.25/366,596,290.25 = 366,596,290.25/x
  3. Step 3: Cross multiply
    156,952,973.25x = 366,596,290.25 × 366,596,290.25
  4. Step 4: Simplify right side
    156,952,973.25x = 134,392,840,025,062,240
  5. Step 5: Solve for x
    x = 134,392,840,025,062,240/156,952,973.25
  6. Step 6: Final answer
    x = 856,261,829.53

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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.