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Finding the Third Proportional to 93,403.88 and 145,938.56

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Solution

The third proportional to 93,403.88 and 145,938.56 is: 228,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,403.88 : 145,938.56 = 145,938.56 : x
  2. Step 2: Convert to fraction form
    93,403.88/145,938.56 = 145,938.56/x
  3. Step 3: Cross multiply
    93,403.88x = 145,938.56 × 145,938.56
  4. Step 4: Simplify right side
    93,403.88x = 21,298,064,024.57
  5. Step 5: Solve for x
    x = 21,298,064,024.57/93,403.88
  6. Step 6: Final answer
    x = 228,021.20

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.