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Finding the Third Proportional to 46,756.50 and 99,354

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Solution

The third proportional to 46,756.50 and 99,354 is: 211,119.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,756.50 : 99,354 = 99,354 : x
  2. Step 2: Convert to fraction form
    46,756.50/99,354 = 99,354/x
  3. Step 3: Cross multiply
    46,756.50x = 99,354 × 99,354
  4. Step 4: Simplify right side
    46,756.50x = 9,871,217,316
  5. Step 5: Solve for x
    x = 9,871,217,316/46,756.50
  6. Step 6: Final answer
    x = 211,119.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.