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Finding the Third Proportional to 77,800.50 and 163,903.50

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Solution

The third proportional to 77,800.50 and 163,903.50 is: 345,298.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,800.50 : 163,903.50 = 163,903.50 : x
  2. Step 2: Convert to fraction form
    77,800.50/163,903.50 = 163,903.50/x
  3. Step 3: Cross multiply
    77,800.50x = 163,903.50 × 163,903.50
  4. Step 4: Simplify right side
    77,800.50x = 26,864,357,312.25
  5. Step 5: Solve for x
    x = 26,864,357,312.25/77,800.50
  6. Step 6: Final answer
    x = 345,298.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.