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Finding the Third Proportional to 156,953,196 and 366,596,856

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Solution

The third proportional to 156,953,196 and 366,596,856 is: 856,263,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,953,196 : 366,596,856 = 366,596,856 : x
  2. Step 2: Convert to fraction form
    156,953,196/366,596,856 = 366,596,856/x
  3. Step 3: Cross multiply
    156,953,196x = 366,596,856 × 366,596,856
  4. Step 4: Simplify right side
    156,953,196x = 134,393,254,829,084,736
  5. Step 5: Solve for x
    x = 134,393,254,829,084,736/156,953,196
  6. Step 6: Final answer
    x = 856,263,257.16

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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.