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Finding the Third Proportional to 46,077,153 and 98,992,287

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Solution

The third proportional to 46,077,153 and 98,992,287 is: 212,675,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,153 : 98,992,287 = 98,992,287 : x
  2. Step 2: Convert to fraction form
    46,077,153/98,992,287 = 98,992,287/x
  3. Step 3: Cross multiply
    46,077,153x = 98,992,287 × 98,992,287
  4. Step 4: Simplify right side
    46,077,153x = 9,799,472,885,490,368
  5. Step 5: Solve for x
    x = 9,799,472,885,490,368/46,077,153
  6. Step 6: Final answer
    x = 212,675,311.89

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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.