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Finding the Third Proportional to 102,092,956 and 156,923,484

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Solution

The third proportional to 102,092,956 and 156,923,484 is: 241,201,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092,956 : 156,923,484 = 156,923,484 : x
  2. Step 2: Convert to fraction form
    102,092,956/156,923,484 = 156,923,484/x
  3. Step 3: Cross multiply
    102,092,956x = 156,923,484 × 156,923,484
  4. Step 4: Simplify right side
    102,092,956x = 24,624,979,830,698,256
  5. Step 5: Solve for x
    x = 24,624,979,830,698,256/102,092,956
  6. Step 6: Final answer
    x = 241,201,555.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.