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Finding the Third Proportional to 82,982,523 and 121,783,362

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Solution

The third proportional to 82,982,523 and 121,783,362 is: 178,726,636.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982,523 : 121,783,362 = 121,783,362 : x
  2. Step 2: Convert to fraction form
    82,982,523/121,783,362 = 121,783,362/x
  3. Step 3: Cross multiply
    82,982,523x = 121,783,362 × 121,783,362
  4. Step 4: Simplify right side
    82,982,523x = 14,831,187,260,023,044
  5. Step 5: Solve for x
    x = 14,831,187,260,023,044/82,982,523
  6. Step 6: Final answer
    x = 178,726,636.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.