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Finding the Third Proportional to 216,214.00 and 473,152.32

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Solution

The third proportional to 216,214.00 and 473,152.32 is: 1,035,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,214.00 : 473,152.32 = 473,152.32 : x
  2. Step 2: Convert to fraction form
    216,214.00/473,152.32 = 473,152.32/x
  3. Step 3: Cross multiply
    216,214.00x = 473,152.32 × 473,152.32
  4. Step 4: Simplify right side
    216,214.00x = 223,873,121,913.61
  5. Step 5: Solve for x
    x = 223,873,121,913.61/216,214.00
  6. Step 6: Final answer
    x = 1,035,423.82

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Why These Related Problems?

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