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Finding the Third Proportional to 182,421,637 and 282,703,311

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Solution

The third proportional to 182,421,637 and 282,703,311 is: 438,112,295.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,421,637 : 282,703,311 = 282,703,311 : x
  2. Step 2: Convert to fraction form
    182,421,637/282,703,311 = 282,703,311/x
  3. Step 3: Cross multiply
    182,421,637x = 282,703,311 × 282,703,311
  4. Step 4: Simplify right side
    182,421,637x = 79,921,162,050,362,720
  5. Step 5: Solve for x
    x = 79,921,162,050,362,720/182,421,637
  6. Step 6: Final answer
    x = 438,112,295.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.