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Finding the Third Proportional to 84,306,159 and 126,459,230.06

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Solution

The third proportional to 84,306,159 and 126,459,230.06 is: 189,688,832.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,306,159 : 126,459,230.06 = 126,459,230.06 : x
  2. Step 2: Convert to fraction form
    84,306,159/126,459,230.06 = 126,459,230.06/x
  3. Step 3: Cross multiply
    84,306,159x = 126,459,230.06 × 126,459,230.06
  4. Step 4: Simplify right side
    84,306,159x = 15,991,936,868,000,304
  5. Step 5: Solve for x
    x = 15,991,936,868,000,304/84,306,159
  6. Step 6: Final answer
    x = 189,688,832.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.