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Finding the Third Proportional to 93,492 and 205,681.50

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Solution

The third proportional to 93,492 and 205,681.50 is: 452,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,492 : 205,681.50 = 205,681.50 : x
  2. Step 2: Convert to fraction form
    93,492/205,681.50 = 205,681.50/x
  3. Step 3: Cross multiply
    93,492x = 205,681.50 × 205,681.50
  4. Step 4: Simplify right side
    93,492x = 42,304,879,442.25
  5. Step 5: Solve for x
    x = 42,304,879,442.25/93,492
  6. Step 6: Final answer
    x = 452,497.32

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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.