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Finding the Third Proportional to 46,077,145.50 and 98,992,264.50

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Solution

The third proportional to 46,077,145.50 and 98,992,264.50 is: 212,675,249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,145.50 : 98,992,264.50 = 98,992,264.50 : x
  2. Step 2: Convert to fraction form
    46,077,145.50/98,992,264.50 = 98,992,264.50/x
  3. Step 3: Cross multiply
    46,077,145.50x = 98,992,264.50 × 98,992,264.50
  4. Step 4: Simplify right side
    46,077,145.50x = 9,799,468,430,837,960
  5. Step 5: Solve for x
    x = 9,799,468,430,837,960/46,077,145.50
  6. Step 6: Final answer
    x = 212,675,249.83

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Why These Related Problems?

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