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Finding the Third Proportional to 46,416 and 99,388

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Solution

The third proportional to 46,416 and 99,388 is: 212,814.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,416 : 99,388 = 99,388 : x
  2. Step 2: Convert to fraction form
    46,416/99,388 = 99,388/x
  3. Step 3: Cross multiply
    46,416x = 99,388 × 99,388
  4. Step 4: Simplify right side
    46,416x = 9,877,974,544
  5. Step 5: Solve for x
    x = 9,877,974,544/46,416
  6. Step 6: Final answer
    x = 212,814.00

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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.