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Finding the Third Proportional to 45,526 and 99,354

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Solution

The third proportional to 45,526 and 99,354 is: 216,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,526 : 99,354 = 99,354 : x
  2. Step 2: Convert to fraction form
    45,526/99,354 = 99,354/x
  3. Step 3: Cross multiply
    45,526x = 99,354 × 99,354
  4. Step 4: Simplify right side
    45,526x = 9,871,217,316
  5. Step 5: Solve for x
    x = 9,871,217,316/45,526
  6. Step 6: Final answer
    x = 216,825.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.