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Finding the Third Proportional to 121,977,874.69 and 185,825,152.69

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Solution

The third proportional to 121,977,874.69 and 185,825,152.69 is: 283,092,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,977,874.69 : 185,825,152.69 = 185,825,152.69 : x
  2. Step 2: Convert to fraction form
    121,977,874.69/185,825,152.69 = 185,825,152.69/x
  3. Step 3: Cross multiply
    121,977,874.69x = 185,825,152.69 × 185,825,152.69
  4. Step 4: Simplify right side
    121,977,874.69x = 34,530,987,371,332,688
  5. Step 5: Solve for x
    x = 34,530,987,371,332,688/121,977,874.69
  6. Step 6: Final answer
    x = 283,092,220.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.