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Finding the Third Proportional to 45,323 and 99,709

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Solution

The third proportional to 45,323 and 99,709 is: 219,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,323 : 99,709 = 99,709 : x
  2. Step 2: Convert to fraction form
    45,323/99,709 = 99,709/x
  3. Step 3: Cross multiply
    45,323x = 99,709 × 99,709
  4. Step 4: Simplify right side
    45,323x = 9,941,884,681
  5. Step 5: Solve for x
    x = 9,941,884,681/45,323
  6. Step 6: Final answer
    x = 219,356.28

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.