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Finding the Third Proportional to 46,359 and 99,277.31

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Solution

The third proportional to 46,359 and 99,277.31 is: 212,601.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359 : 99,277.31 = 99,277.31 : x
  2. Step 2: Convert to fraction form
    46,359/99,277.31 = 99,277.31/x
  3. Step 3: Cross multiply
    46,359x = 99,277.31 × 99,277.31
  4. Step 4: Simplify right side
    46,359x = 9,855,984,777.22
  5. Step 5: Solve for x
    x = 9,855,984,777.22/46,359
  6. Step 6: Final answer
    x = 212,601.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.