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Finding the Third Proportional to 156,293,941 and 229,758,015.50

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Solution

The third proportional to 156,293,941 and 229,758,015.50 is: 337,752,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,293,941 : 229,758,015.50 = 229,758,015.50 : x
  2. Step 2: Convert to fraction form
    156,293,941/229,758,015.50 = 229,758,015.50/x
  3. Step 3: Cross multiply
    156,293,941x = 229,758,015.50 × 229,758,015.50
  4. Step 4: Simplify right side
    156,293,941x = 52,788,745,686,498,240
  5. Step 5: Solve for x
    x = 52,788,745,686,498,240/156,293,941
  6. Step 6: Final answer
    x = 337,752,988.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.