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Finding the Third Proportional to 106,754,856 and 233,087,739

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Solution

The third proportional to 106,754,856 and 233,087,739 is: 508,921,992.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754,856 : 233,087,739 = 233,087,739 : x
  2. Step 2: Convert to fraction form
    106,754,856/233,087,739 = 233,087,739/x
  3. Step 3: Cross multiply
    106,754,856x = 233,087,739 × 233,087,739
  4. Step 4: Simplify right side
    106,754,856x = 54,329,894,072,132,120
  5. Step 5: Solve for x
    x = 54,329,894,072,132,120/106,754,856
  6. Step 6: Final answer
    x = 508,921,992.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.