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Finding the Third Proportional to 46,023 and 99,300

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Solution

The third proportional to 46,023 and 99,300 is: 214,251.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,023 : 99,300 = 99,300 : x
  2. Step 2: Convert to fraction form
    46,023/99,300 = 99,300/x
  3. Step 3: Cross multiply
    46,023x = 99,300 × 99,300
  4. Step 4: Simplify right side
    46,023x = 9,860,490,000
  5. Step 5: Solve for x
    x = 9,860,490,000/46,023
  6. Step 6: Final answer
    x = 214,251.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.