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Finding the Third Proportional to 109,706,402 and 233,992,804

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Solution

The third proportional to 109,706,402 and 233,992,804 is: 499,083,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,706,402 : 233,992,804 = 233,992,804 : x
  2. Step 2: Convert to fraction form
    109,706,402/233,992,804 = 233,992,804/x
  3. Step 3: Cross multiply
    109,706,402x = 233,992,804 × 233,992,804
  4. Step 4: Simplify right side
    109,706,402x = 54,752,632,323,782,416
  5. Step 5: Solve for x
    x = 54,752,632,323,782,416/109,706,402
  6. Step 6: Final answer
    x = 499,083,292.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.