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Finding the Third Proportional to 76,708,632 and 164,801,136

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Solution

The third proportional to 76,708,632 and 164,801,136 is: 354,059,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,708,632 : 164,801,136 = 164,801,136 : x
  2. Step 2: Convert to fraction form
    76,708,632/164,801,136 = 164,801,136/x
  3. Step 3: Cross multiply
    76,708,632x = 164,801,136 × 164,801,136
  4. Step 4: Simplify right side
    76,708,632x = 27,159,414,426,890,496
  5. Step 5: Solve for x
    x = 27,159,414,426,890,496/76,708,632
  6. Step 6: Final answer
    x = 354,059,428.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.