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Finding the Third Proportional to 51,382,824.19 and 119,897,398.13

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Solution

The third proportional to 51,382,824.19 and 119,897,398.13 is: 279,770,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,382,824.19 : 119,897,398.13 = 119,897,398.13 : x
  2. Step 2: Convert to fraction form
    51,382,824.19/119,897,398.13 = 119,897,398.13/x
  3. Step 3: Cross multiply
    51,382,824.19x = 119,897,398.13 × 119,897,398.13
  4. Step 4: Simplify right side
    51,382,824.19x = 14,375,386,077,144,754
  5. Step 5: Solve for x
    x = 14,375,386,077,144,754/51,382,824.19
  6. Step 6: Final answer
    x = 279,770,259.90

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.