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Finding the Third Proportional to 93,909.50 and 221,459

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Solution

The third proportional to 93,909.50 and 221,459 is: 522,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,909.50 : 221,459 = 221,459 : x
  2. Step 2: Convert to fraction form
    93,909.50/221,459 = 221,459/x
  3. Step 3: Cross multiply
    93,909.50x = 221,459 × 221,459
  4. Step 4: Simplify right side
    93,909.50x = 49,044,088,681
  5. Step 5: Solve for x
    x = 49,044,088,681/93,909.50
  6. Step 6: Final answer
    x = 522,248.43

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.