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Finding the Third Proportional to 46,077,135.75 and 98,992,230.75

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Solution

The third proportional to 46,077,135.75 and 98,992,230.75 is: 212,675,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,135.75 : 98,992,230.75 = 98,992,230.75 : x
  2. Step 2: Convert to fraction form
    46,077,135.75/98,992,230.75 = 98,992,230.75/x
  3. Step 3: Cross multiply
    46,077,135.75x = 98,992,230.75 × 98,992,230.75
  4. Step 4: Simplify right side
    46,077,135.75x = 9,799,461,748,861,246
  5. Step 5: Solve for x
    x = 9,799,461,748,861,246/46,077,135.75
  6. Step 6: Final answer
    x = 212,675,149.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.