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Finding the Third Proportional to 82,274,098 and 170,925,445

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Solution

The third proportional to 82,274,098 and 170,925,445 is: 355,099,702.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274,098 : 170,925,445 = 170,925,445 : x
  2. Step 2: Convert to fraction form
    82,274,098/170,925,445 = 170,925,445/x
  3. Step 3: Cross multiply
    82,274,098x = 170,925,445 × 170,925,445
  4. Step 4: Simplify right side
    82,274,098x = 29,215,507,748,448,024
  5. Step 5: Solve for x
    x = 29,215,507,748,448,024/82,274,098
  6. Step 6: Final answer
    x = 355,099,702.81

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.