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Finding the Third Proportional to 109,688.63 and 237,367.13

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Solution

The third proportional to 109,688.63 and 237,367.13 is: 513,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,688.63 : 237,367.13 = 237,367.13 : x
  2. Step 2: Convert to fraction form
    109,688.63/237,367.13 = 237,367.13/x
  3. Step 3: Cross multiply
    109,688.63x = 237,367.13 × 237,367.13
  4. Step 4: Simplify right side
    109,688.63x = 56,343,152,030.77
  5. Step 5: Solve for x
    x = 56,343,152,030.77/109,688.63
  6. Step 6: Final answer
    x = 513,664.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.