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Finding the Third Proportional to 156,994,560 and 233,960,310

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Solution

The third proportional to 156,994,560 and 233,960,310 is: 348,658,110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,994,560 : 233,960,310 = 233,960,310 : x
  2. Step 2: Convert to fraction form
    156,994,560/233,960,310 = 233,960,310/x
  3. Step 3: Cross multiply
    156,994,560x = 233,960,310 × 233,960,310
  4. Step 4: Simplify right side
    156,994,560x = 54,737,426,655,296,096
  5. Step 5: Solve for x
    x = 54,737,426,655,296,096/156,994,560
  6. Step 6: Final answer
    x = 348,658,110.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.