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Finding the Third Proportional to 93,803.70 and 205,123.32

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Solution

The third proportional to 93,803.70 and 205,123.32 is: 448,549.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,803.70 : 205,123.32 = 205,123.32 : x
  2. Step 2: Convert to fraction form
    93,803.70/205,123.32 = 205,123.32/x
  3. Step 3: Cross multiply
    93,803.70x = 205,123.32 × 205,123.32
  4. Step 4: Simplify right side
    93,803.70x = 42,075,578,138.55
  5. Step 5: Solve for x
    x = 42,075,578,138.55/93,803.70
  6. Step 6: Final answer
    x = 448,549.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.