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Finding the Third Proportional to 102,092,944 and 156,923,466

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Solution

The third proportional to 102,092,944 and 156,923,466 is: 241,201,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,092,944 : 156,923,466 = 156,923,466 : x
  2. Step 2: Convert to fraction form
    102,092,944/156,923,466 = 156,923,466/x
  3. Step 3: Cross multiply
    102,092,944x = 156,923,466 × 156,923,466
  4. Step 4: Simplify right side
    102,092,944x = 24,624,974,181,453,156
  5. Step 5: Solve for x
    x = 24,624,974,181,453,156/102,092,944
  6. Step 6: Final answer
    x = 241,201,528.89

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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.