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Finding the Third Proportional to 81,724,272 and 121,877,712

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Solution

The third proportional to 81,724,272 and 121,877,712 is: 181,759,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,724,272 : 121,877,712 = 121,877,712 : x
  2. Step 2: Convert to fraction form
    81,724,272/121,877,712 = 121,877,712/x
  3. Step 3: Cross multiply
    81,724,272x = 121,877,712 × 121,877,712
  4. Step 4: Simplify right side
    81,724,272x = 14,854,176,682,354,944
  5. Step 5: Solve for x
    x = 14,854,176,682,354,944/81,724,272
  6. Step 6: Final answer
    x = 181,759,669.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.