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Finding the Third Proportional to 100,637.02 and 217,038.66

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Solution

The third proportional to 100,637.02 and 217,038.66 is: 468,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,637.02 : 217,038.66 = 217,038.66 : x
  2. Step 2: Convert to fraction form
    100,637.02/217,038.66 = 217,038.66/x
  3. Step 3: Cross multiply
    100,637.02x = 217,038.66 × 217,038.66
  4. Step 4: Simplify right side
    100,637.02x = 47,105,778,306.81
  5. Step 5: Solve for x
    x = 47,105,778,306.81/100,637.02
  6. Step 6: Final answer
    x = 468,076.07

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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.