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Finding the Third Proportional to 182,421,633.50 and 282,703,306

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Solution

The third proportional to 182,421,633.50 and 282,703,306 is: 438,112,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,421,633.50 : 282,703,306 = 282,703,306 : x
  2. Step 2: Convert to fraction form
    182,421,633.50/282,703,306 = 282,703,306/x
  3. Step 3: Cross multiply
    182,421,633.50x = 282,703,306 × 282,703,306
  4. Step 4: Simplify right side
    182,421,633.50x = 79,921,159,223,329,632
  5. Step 5: Solve for x
    x = 79,921,159,223,329,632/182,421,633.50
  6. Step 6: Final answer
    x = 438,112,287.94

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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.