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Finding the Third Proportional to 121,830,358.50 and 263,081,823.75

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Solution

The third proportional to 121,830,358.50 and 263,081,823.75 is: 568,101,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,830,358.50 : 263,081,823.75 = 263,081,823.75 : x
  2. Step 2: Convert to fraction form
    121,830,358.50/263,081,823.75 = 263,081,823.75/x
  3. Step 3: Cross multiply
    121,830,358.50x = 263,081,823.75 × 263,081,823.75
  4. Step 4: Simplify right side
    121,830,358.50x = 69,212,045,987,626,064
  5. Step 5: Solve for x
    x = 69,212,045,987,626,064/121,830,358.50
  6. Step 6: Final answer
    x = 568,101,800.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.