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Finding the Third Proportional to 46,077,138 and 98,992,235.25

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Solution

The third proportional to 46,077,138 and 98,992,235.25 is: 212,675,158.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,138 : 98,992,235.25 = 98,992,235.25 : x
  2. Step 2: Convert to fraction form
    46,077,138/98,992,235.25 = 98,992,235.25/x
  3. Step 3: Cross multiply
    46,077,138x = 98,992,235.25 × 98,992,235.25
  4. Step 4: Simplify right side
    46,077,138x = 9,799,462,639,791,342
  5. Step 5: Solve for x
    x = 9,799,462,639,791,342/46,077,138
  6. Step 6: Final answer
    x = 212,675,158.77

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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.